Paper Citation Record · LEDGER

Morse resolutions of monomial ideals and Betti splittings

As of 20 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2502.02122.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.02122 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:26:03.112543Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:01:38.978351Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-08T16:43:06.054804Z

Reference resolution

53 of 53 outbound references displayed

verified exact3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9178af7-379b-49c5-a35b-fc86886f0358 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:26:03.700413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aa192eff-5b2c-45c9-b601-4ed67e4d1df2 · outbound

This paper cites Squarefree lexsegment ideals.

Morse resolutions of monomial ideals and Betti splittings Squarefree lexsegment ideals

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.690434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d1248654-1b93-4ea5-b8da-2be466fc7cba · outbound

This paper cites Pruned cellular free resolutions of monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Pruned cellular free resolutions of monomial ideals

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.681851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 081834ba-71c5-4bf7-8d60-c3a057729ba9 · outbound

This paper cites Splitting vertices and L yubeznik table of graphs.

Morse resolutions of monomial ideals and Betti splittings Splitting vertices and L yubeznik table of graphs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.669795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 409812bf-5a4a-427c-8950-45b6d31b8b14 · outbound

This paper cites Betti splitting from a topological point of view.

Morse resolutions of monomial ideals and Betti splittings Betti splitting from a topological point of view

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.660079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5e01db7b-42ea-4f9e-89c3-6dc24a154650 · outbound

This paper cites Upper bounds for the B etti numbers of a given H ilbert function.

Morse resolutions of monomial ideals and Betti splittings Upper bounds for the B etti numbers of a given H ilbert function

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.650121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f8ebb30d-c32c-4d47-9366-334cb9c97bb1 · outbound

This paper cites Minimal cellular resolutions of the edge ideals of forests.

Morse resolutions of monomial ideals and Betti splittings Minimal cellular resolutions of the edge ideals of forests

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.639288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation efe86b57-8e23-4051-91ce-34542b040d88 · outbound

This paper cites Betti splitting via componentwise linear ideals.

Morse resolutions of monomial ideals and Betti splittings Betti splitting via componentwise linear ideals

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.628489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation acb519d6-fdc8-40d6-9bec-630e8d49041c · outbound

This paper cites Monomial resolutions.

Morse resolutions of monomial ideals and Betti splittings Monomial resolutions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.617655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e1e78df9-19ef-43ee-add5-86f8a11e069e · outbound

This paper cites Cellular resolutions of monomial modules.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of monomial modules

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.606683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ddd6f434-149d-4dce-85b4-88579db9de54 · outbound

This paper cites Discrete M orse theory for cellular resolutions.

Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory for cellular resolutions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.595456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fcdc9bcb-7db7-41b1-9ca1-a2b26d3d3e6b · outbound

This paper cites Graham Evans, Jr.

Morse resolutions of monomial ideals and Betti splittings Graham Evans, Jr

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.584489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6b20e4a8-bcbc-45f4-9d5f-78da105d9cd9 · outbound

This paper cites Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M.

Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.574395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4f9e0fd4-dece-444c-a480-05acaf768fec · outbound

This paper cites Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M.

Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.564357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e93c234b-a8e3-46e6-8e19-bb4e9f9c964b · outbound

This paper cites Cohen-Macaulayness of vertex splittable monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Cohen-Macaulayness of vertex splittable monomial ideals

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-09T13:26:03.180343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1209c0fe-f28e-46bd-a04c-5bb1b4f0f6f6 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:26:03.553905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02ef1c6b-e785-466e-b240-f8a509cc0319 · outbound

This paper cites Betti tables of p - B orel-fixed ideals.

Morse resolutions of monomial ideals and Betti splittings Betti tables of p - B orel-fixed ideals

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.544431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ff65eac5-0af9-4881-9d29-97d53dbf7293 · outbound

This paper cites Barile- M acchia resolutions.

Morse resolutions of monomial ideals and Betti splittings Barile- M acchia resolutions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.535021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 39cb2bb2-5163-47fd-99f9-528c68dd1b3f · outbound

This paper cites Cellular resolutions from mapping cones.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions from mapping cones

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.525674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a410954e-1dc7-4424-8784-c2df6031be13 · outbound

This paper cites Minimal resolutions of some monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Minimal resolutions of some monomial ideals

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.515717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b935716f-9944-49c2-9475-55d7f05c8002 · outbound

This paper cites Cellular resolutions of powers of monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of powers of monomial ideals

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-09T13:26:03.165651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c76e524-6133-48db-a9e7-c03d9fbbc4ee · outbound

This paper cites G., Roya Ghorbani, and Ali Akbar Yazdan Pour.

Morse resolutions of monomial ideals and Betti splittings G., Roya Ghorbani, and Ali Akbar Yazdan Pour

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.504648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3782835d-136c-4816-8fdf-051285777d6a · outbound

This paper cites Francisco, Huy T\`ai H\`a, and Adam Van Tuyl.

Morse resolutions of monomial ideals and Betti splittings Francisco, Huy T\`ai H\`a, and Adam Van Tuyl

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.493390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 350b7db9-9fde-48db-908d-f0facf4213d8 · outbound

This paper cites Morse theory for cell complexes.

Morse resolutions of monomial ideals and Betti splittings Morse theory for cell complexes

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.482262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fcedb1ae-7882-4b69-a049-60f2264f9871 · outbound

This paper cites Francisco and Adam Van Tuyl.

Morse resolutions of monomial ideals and Betti splittings Francisco and Adam Van Tuyl

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.470663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8b7252c1-1b1e-49ee-ab30-2065e7ed8ed2 · outbound

This paper cites Resolutions of a -stable ideals.

Morse resolutions of monomial ideals and Betti splittings Resolutions of a -stable ideals

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.459644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 17c1278a-214b-49ee-ab4d-fae8895e7e41 · outbound

This paper cites Cellular structure for the H erzog- T akayama resolution.

Morse resolutions of monomial ideals and Betti splittings Cellular structure for the H erzog- T akayama resolution

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.447942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 020052fc-69bb-4365-bbf0-85fa0b70d055 · outbound

This paper cites Componentwise linear ideals.

Morse resolutions of monomial ideals and Betti splittings Componentwise linear ideals

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.437488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3cbafedf-cf4b-4092-ba8b-7f0457c29e30 · outbound

This paper cites Discrete polymatroids.

Morse resolutions of monomial ideals and Betti splittings Discrete polymatroids

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.427092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 69ef77bd-b300-4285-9291-6a7a4f494bc2 · outbound

This paper cites Monomial ideals , volume 260 of Graduate Texts in Mathematics.

Morse resolutions of monomial ideals and Betti splittings Monomial ideals , volume 260 of Graduate Texts in Mathematics

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-09T13:26:03.035535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 524cde21-a14b-4a16-a217-fdb483a43624 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:26:03.408884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 702767a9-67b1-444d-90e9-a582adfe93b6 · outbound

This paper cites Resolutions by mapping cones.

Morse resolutions of monomial ideals and Betti splittings Resolutions by mapping cones

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.397414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5c9eed44-8c37-44bd-802a-c989e29ebde5 · outbound

This paper cites Maximum betti numbers for a given hilbert function.

Morse resolutions of monomial ideals and Betti splittings Maximum betti numbers for a given hilbert function

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.387003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eac2676b-f165-4a93-a48d-bd6fcfe939af · outbound

This paper cites Cellular structure of the P ommaret- S eiler resolution for quasi-stable ideals.

Morse resolutions of monomial ideals and Betti splittings Cellular structure of the P ommaret- S eiler resolution for quasi-stable ideals

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.377910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a110d14-d063-4210-9bee-ded1026201d7 · outbound

This paper cites On the multigraded H ilbert and P oincar\'e- B etti series and the G olod property of monomial rings.

Morse resolutions of monomial ideals and Betti splittings On the multigraded H ilbert and P oincar\'e- B etti series and the G olod property of monomial rings

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.368973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ae2b8d40-d180-423d-b79d-7619ad231ac3 · outbound

This paper cites Minimal resolutions via algebraic discrete M orse theory.

Morse resolutions of monomial ideals and Betti splittings Minimal resolutions via algebraic discrete M orse theory

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.359801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5e29e2e1-8b6e-44cd-adab-dd96314a7dd9 · outbound

This paper cites Arithmetical rank of monomial ideals of deviation two.

Morse resolutions of monomial ideals and Betti splittings Arithmetical rank of monomial ideals of deviation two

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.350388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe2f903f-4be2-4544-b984-1c5daf145989 · outbound

This paper cites A new explicit finite free resolution of ideals generated by monomials in an R -sequence.

Morse resolutions of monomial ideals and Betti splittings A new explicit finite free resolution of ideals generated by monomials in an R -sequence

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.339609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation de52dae5-c6db-4481-8c52-dbd37f9a6240 · outbound

This paper cites The E liahou- K ervaire resolution is cellular.

Morse resolutions of monomial ideals and Betti splittings The E liahou- K ervaire resolution is cellular

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.328782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3c6b8b11-11bc-47fc-a00b-fb1f0e3a5499 · outbound

This paper cites On vertex decomposable simplicial complexes and their alexander duals.

Morse resolutions of monomial ideals and Betti splittings On vertex decomposable simplicial complexes and their alexander duals

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.317806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2352ec8b-cd09-4f68-ab71-ec45ee578749 · outbound

This paper cites Vertex decomposability and weakly polymatroidal ideals.

Morse resolutions of monomial ideals and Betti splittings Vertex decomposability and weakly polymatroidal ideals

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-09T13:26:03.150424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cb4f0d05-d6f6-4583-96ea-4b9d1f052735 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:26:03.307704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c765286e-4fba-4d30-b7c3-1c45e7b26dd9 · outbound

This paper cites On CW complexes supporting E liahou- K ervaire type resolutions of B orel fixed ideals.

Morse resolutions of monomial ideals and Betti splittings On CW complexes supporting E liahou- K ervaire type resolutions of B orel fixed ideals

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.297640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b3bd7dd7-9271-430d-8275-3479bc779464 · outbound

This paper cites Nonstandard borel-fixed ideals.

Morse resolutions of monomial ideals and Betti splittings Nonstandard borel-fixed ideals

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.286784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fd875eda-e7a5-4b47-a44b-6f85cfc2da85 · outbound

This paper cites Minimal free resolution of a finitely generated module over a regular local ring.

Morse resolutions of monomial ideals and Betti splittings Minimal free resolution of a finitely generated module over a regular local ring

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.276394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d9248e4-4668-4999-b47d-d24a8b235ef0 · outbound

This paper cites On B orel fixed ideals generated in one degree.

Morse resolutions of monomial ideals and Betti splittings On B orel fixed ideals generated in one degree

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.265661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b94462b-0d85-4326-8dfd-d1e86d9df7b3 · outbound

This paper cites Morse theory from an algebraic viewpoint.

Morse resolutions of monomial ideals and Betti splittings Morse theory from an algebraic viewpoint

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.254960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 521bbdfd-157d-4474-aab3-8f3433d28cb6 · outbound

This paper cites Ideals generated by monomials in an R -sequence.

Morse resolutions of monomial ideals and Betti splittings Ideals generated by monomials in an R -sequence

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.244343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cbea0737-4cdf-41cb-a272-0bca5004b74b · outbound

This paper cites Minimal free resolutions that are not supported by a CW -complex.

Morse resolutions of monomial ideals and Betti splittings Minimal free resolutions that are not supported by a CW -complex

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.232989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7bb9b2b9-1903-4392-9250-3ca77fa56241 · outbound

This paper cites Sequentially cohen-macaulay bipartite graphs: Vertex decomposability and regularity.

Morse resolutions of monomial ideals and Betti splittings Sequentially cohen-macaulay bipartite graphs: Vertex decomposability and regularity

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.222740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 766dfab2-19ff-4d04-9a4d-5b1fd5bf31bb · outbound

This paper cites Discrete M orse theory and free resolutions.

Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory and free resolutions

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.212648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b540886e-9a43-40fc-ad9b-90fe36c6d118 · outbound

This paper cites Vertex decomposable graphs and obstructions to shellability.

Morse resolutions of monomial ideals and Betti splittings Vertex decomposable graphs and obstructions to shellability

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.202442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d5cfdad6-7a8b-48e0-9198-093654a6b59e · outbound

This paper cites Alexander duality for S tanley- R eisner rings and squarefree N^n -graded modules.

Morse resolutions of monomial ideals and Betti splittings Alexander duality for S tanley- R eisner rings and squarefree N^n -graded modules

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:03.191373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 066d7e73-d772-46b1-9cd4-209945b759a0 · inbound

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions cites this paper.

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions Morse resolutions of monomial ideals and Betti splittings

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:43:06.059906Z

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Observation 2dc34793-79a4-4ad1-9c8f-d928c292cabd · inbound

When are Morse resolutions polyhedral? cites this paper.

When are Morse resolutions polyhedral? Morse resolutions of monomial ideals and Betti splittings

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T22:01:38.978351Z

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