Paper Citation Record · LEDGER

Khovanov homology: pro-tangles, derived colimits and spectral sequences

As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2606.13471.

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pith.paper-citation-record.v1
2606.13471 v2

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measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T05:16:01.777480Z

measured 38 of 38 standing notices

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Reference resolution

38 of 38 outbound references displayed

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Outbound references

Observation fc65c2e3-dc47-4b06-a473-4ab2c7009025 · outbound

This paper cites American Mathematical Soc., 2004.

Khovanov homology: pro-tangles, derived colimits and spectral sequences American Mathematical Soc., 2004

Reference 1

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Observation 07356c42-c340-4be5-acda-20877bee3dda · outbound

This paper cites Topological invariants of knots and links.Transactions of the American Mathematical Society, 30(2):275–306, 1928.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Topological invariants of knots and links.Transactions of the American Mathematical Society, 30(2):275–306, 1928

Reference 2

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Observation 95905e01-6074-44bf-97c8-c565cbf67ca2 · outbound

This paper cites Khovanov’s homology for tangles and cobordisms.Geometry & Topology, 9(3):1443–1499, 2005.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Khovanov’s homology for tangles and cobordisms.Geometry & Topology, 9(3):1443–1499, 2005

Reference 3

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Observation b97e02ed-1c94-491b-a21b-931f7c5d2066 · outbound

This paper cites Fast Khovanov homology computations.Journal of Knot Theory and Its Ramifications, 16(03):243–255, 2007.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Fast Khovanov homology computations.Journal of Knot Theory and Its Ramifications, 16(03):243–255, 2007

Reference 4

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Observation 9458719f-560f-4b20-a594-7a7c41de1d1c · outbound

This paper cites Khovanov homotopy type, periodic links and localizations.Mathematische Annalen, 380(3):1233–1309, 2021.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Khovanov homotopy type, periodic links and localizations.Mathematische Annalen, 380(3):1233–1309, 2021

Reference 5

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Observation be1d4567-8472-414e-a338-58990df94607 · outbound

This paper cites Exact categories.Expositiones Mathematicae, 28(1):1–69, 2010.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Exact categories.Expositiones Mathematicae, 28(1):1–69, 2010

Reference 6

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Observation 332d9887-f1f7-4523-a799-c9872a3d8a41 · outbound

This paper cites Number 736.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Number 736

Reference 7

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Observation eab91796-2a19-499c-9453-2a6f3911079a · outbound

This paper cites Fixing the functoriality of khovanov homol- ogy.Geometry & Topology, 13(3):1499–1582, 2009.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Fixing the functoriality of khovanov homol- ogy.Geometry & Topology, 13(3):1499–1582, 2009

Reference 8

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Observation 50510357-460c-4bb4-af5c-12d8fe682576 · outbound

This paper cites A spectral sequence from Khovanov homology to knot Floer homology.Journal of the American Mathematical Society, 37(4):951–1010, 2024.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A spectral sequence from Khovanov homology to knot Floer homology.Journal of the American Mathematical Society, 37(4):951–1010, 2024

Reference 9

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Observation 314a22d8-913b-4803-a048-7212ecddf600 · outbound

This paper cites The homotopy theory of khovanov homology.Algebraic & Geometric Topology, 14(5):2747–2781, 2014.

Khovanov homology: pro-tangles, derived colimits and spectral sequences The homotopy theory of khovanov homology.Algebraic & Geometric Topology, 14(5):2747–2781, 2014

Reference 10

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Observation d79c8953-089f-4180-8595-4f8e6147059d · outbound

This paper cites A new polynomial invariant of knots and links.Bull.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A new polynomial invariant of knots and links.Bull

Reference 11

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Observation 16cd7a26-4367-4e0b-b3fd-bae83162bb64 · outbound

This paper cites Springer Science & Business Media, 2009.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Springer Science & Business Media, 2009

Reference 12

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Observation bebc39f2-db62-43a9-978f-a2fc87b0d0c2 · outbound

This paper cites Number 99.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Number 99

Reference 13

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Observation 068cad1a-df17-4863-9ed7-5e49e26c0754 · outbound

This paper cites Springer, 2015.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Springer, 2015

Reference 14

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Observation 93e78d93-fbd0-4a84-bbca-2ae1f922e73e · outbound

This paper cites A polynomial invariant for knots via von Neumann algebras.Bulletin of the American Mathematical Society, 12(1):103–111, 1985.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A polynomial invariant for knots via von Neumann algebras.Bulletin of the American Mathematical Society, 12(1):103–111, 1985

Reference 15

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Observation b610151b-8a9b-4d35-9a48-7b576a3b2ed0 · outbound

This paper cites Hecke algebra representations of braid groups and link polynomials.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Hecke algebra representations of braid groups and link polynomials

Reference 16

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Observation 8b68171d-a1f0-4b52-94b3-c14513ac7d7c · outbound

This paper cites American Mathe- matical Society Providence, RI, 2016.

Khovanov homology: pro-tangles, derived colimits and spectral sequences American Mathe- matical Society Providence, RI, 2016

Reference 17

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Observation 9117dcea-6ef9-4495-bf02-f06fafa5cbe9 · outbound

This paper cites Simplicial homotopy theory, link homology and khovanov homology.Jour- nal of Knot Theory and Its Ramifications, 27(07):1841002, 2018.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Simplicial homotopy theory, link homology and khovanov homology.Jour- nal of Knot Theory and Its Ramifications, 27(07):1841002, 2018

Reference 18

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Observation f01143aa-7039-4636-a4f8-3be5e57353e5 · outbound

This paper cites A categorification of the Jones polynomial.Duke Math.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A categorification of the Jones polynomial.Duke Math

Reference 19

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Observation ed919e1b-bf3c-4dc6-9dd5-55fca564c341 · outbound

This paper cites A functor-valued invariant of tangles.Algebraic & Geometric Topology, 2(2):665–741, 2002.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A functor-valued invariant of tangles.Algebraic & Geometric Topology, 2(2):665–741, 2002

Reference 20

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Observation 31ab5ba6-5ada-40ac-baea-9f47ff0c9218 · outbound

This paper cites Open–closed strings: Two-dimensional extended TQFTs and Frobenius algebras.Topology and its Applications, 155(7):623–666, 2008.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Open–closed strings: Two-dimensional extended TQFTs and Frobenius algebras.Topology and its Applications, 155(7):623–666, 2008

Reference 21

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Observation b970f4bb-0e3e-4ac7-a109-2991f74262ce · outbound

This paper cites Khovanov homotopy type, burnside category and products.Geometry & Topology, 24(2):623–745, 2020.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Khovanov homotopy type, burnside category and products.Geometry & Topology, 24(2):623–745, 2020

Reference 22

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Observation 0c9dff5e-2694-44db-8c05-3a5281ae5c2e · outbound

This paper cites An endomorphism of the Khovanov invariant.Advances in Mathematics, 197(2):554–586, 2005.

Khovanov homology: pro-tangles, derived colimits and spectral sequences An endomorphism of the Khovanov invariant.Advances in Mathematics, 197(2):554–586, 2005

Reference 23

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Observation 13d48a73-fe51-48da-88c0-2fd178ac8c60 · outbound

This paper cites A Khovanov stable homotopy type.Journal of the American Mathematical Society, 27(4):983–1042, 2014.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A Khovanov stable homotopy type.Journal of the American Mathematical Society, 27(4):983–1042, 2014

Reference 24

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Observation c7bfa06e-49d9-43c1-9439-e02bd8d58b55 · outbound

This paper cites Princeton University Press, 2009.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Princeton University Press, 2009

Reference 25

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Observation 512f401b-a438-471e-9975-2adc0d36b0ad · outbound

This paper cites Springer, 1971.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Springer, 1971

Reference 26

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Observation 8aaead1c-5436-4818-bcc3-a77d2a1cc7de · outbound

This paper cites University of Chicago Press, 2012.

Khovanov homology: pro-tangles, derived colimits and spectral sequences University of Chicago Press, 2012

Reference 27

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Observation dec1d2d4-c732-4dca-84c0-93cba090e9d6 · outbound

This paper cites Singular homology groups and homotopy groups of finite topological spaces.Duke Math.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Singular homology groups and homotopy groups of finite topological spaces.Duke Math

Reference 28

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Observation c97ab8fb-e663-45cf-9b7b-bd76dee85f85 · outbound

This paper cites Holomorphic disks and knot invariants.Advances in Math- ematics, 186(1):58–116, 2004.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Holomorphic disks and knot invariants.Advances in Math- ematics, 186(1):58–116, 2004

Reference 29

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Observation 8f9c9ee2-a29f-4f71-9ea6-a71979367465 · outbound

This paper cites On the Heegaard Floer homology of branched double-covers.

Khovanov homology: pro-tangles, derived colimits and spectral sequences On the Heegaard Floer homology of branched double-covers

Reference 30

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Observation 79539dc2-d548-409e-9c15-cc1b25866b12 · outbound

This paper cites Khovanov homology and the slice genus.Inventiones mathematicae, 182(2):419–447, 2010.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Khovanov homology and the slice genus.Inventiones mathematicae, 182(2):419–447, 2010

Reference 31

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Observation 5903d463-a381-4a39-a82e-0da264d950e9 · outbound

This paper cites Harvard University, 2003.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Harvard University, 2003

Reference 32

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Observation 44ed4726-06bf-4705-8b5d-37b348fe7ddc · outbound

This paper cites Number 346.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Number 346

Reference 33

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Observation 259389c8-ae79-4dec-8d9b-9c2936b173c0 · outbound

This paper cites A quantum algorithm for Khovanov homology.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A quantum algorithm for Khovanov homology

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.807027Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6852e277-bd2b-4003-81ee-a961eabb716e · outbound

This paper cites Equivalences of monoidal model categories.Algebraic & Geometric Topology, 3(1):287–334, 2003.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Equivalences of monoidal model categories.Algebraic & Geometric Topology, 3(1):287–334, 2003

Reference 35

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Observation f11efde8-4d1f-4898-97dd-b5f5bf1010e0 · outbound

This paper cites Computing Khovanov homology of tangles.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Computing Khovanov homology of tangles

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.810647Z

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Observation 022825ea-0729-4036-8d4e-3c8e17d1560a · outbound

This paper cites Number 38.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Number 38

Reference 37

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Observation b8da659c-d84e-4f82-a8dc-908069f28886 · outbound

This paper cites Quantum field theory and the Jones polynomial.Communications in Math- ematical Physics, 121(3):351–399, 1989.

Khovanov homology: pro-tangles, derived colimits and spectral sequences Quantum field theory and the Jones polynomial.Communications in Math- ematical Physics, 121(3):351–399, 1989

Reference 38

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