Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:56:55.836982Z
Paper Citation Record · LEDGER
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation
As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2507.12351.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact3
- verified fuzzy34
- unresolved2
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ed05c8b7-3553-43b1-af56-b5cb03ab5187 · outbound
This paper cites On the finiteness of quantum K-theory of a homogeneous space , Int Math Res Not, 2022, 1313-1349.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On the finiteness of quantum K-theory of a homogeneous space , Int Math Res Not, 2022, 1313-1349
Reference 1
- Resolution
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- raw_fallback, observed 2026-08-06T16:57:02.951043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 78432563-1b73-45b5-9cf7-e6916e235453 · outbound
This paper cites Transformation formulas in quantum cohomology , Compos Math, 2004, 140: 778-792.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Transformation formulas in quantum cohomology , Compos Math, 2004, 140: 778-792
Reference 2
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- raw_fallback, observed 2026-08-06T16:57:02.808049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 27ce9ab0-45ee-4773-a902-216227517434 · outbound
This paper cites Quantum Schubert calculus , Adv Math, 1997, 128: 289-305.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum Schubert calculus , Adv Math, 1997, 128: 289-305
Reference 3
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- raw_fallback, observed 2026-08-06T16:57:02.657421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2eaf732d-1551-4ef5-844f-a61dd7e7480c · outbound
This paper cites Schubert cells and cohomology of the spaces G/P, Russian Mathematical Surveys, 1973, 28: 1-26.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Schubert cells and cohomology of the spaces G/P, Russian Mathematical Surveys, 1973, 28: 1-26
Reference 4
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- raw_fallback, observed 2026-08-06T16:57:02.496469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb4a29ee-458f-4599-bc9c-e014a8a901cb · outbound
This paper cites The crepant resolution conjecture, In: Algebraic Geometry-Seattle 2005.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation The crepant resolution conjecture, In: Algebraic Geometry-Seattle 2005
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:02.355340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3f170cf0-fb75-4184-8537-070d8ab4b574 · outbound
This paper cites Seidel and Pieri products in cominuscule quantum K-theory.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Seidel and Pieri products in cominuscule quantum K-theory
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:56:56.347818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 20bc3de4-62a9-4cfe-be95-ddbeb396f8f2 · outbound
This paper cites Euler characteristics in the quantum K-theory of flag varieties , Selecta Math, 2020, 26: Article No.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Euler characteristics in the quantum K-theory of flag varieties , Selecta Math, 2020, 26: Article No
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:02.193248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf4aff5b-de0f-4e18-83bc-8b56564aac37 · outbound
This paper cites Gromov-Witten invariants on Grassmannians , J Amer Math Soc, 2003, 16: 901-915.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Gromov-Witten invariants on Grassmannians , J Amer Math Soc, 2003, 16: 901-915
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:02.025788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 08467508-5eb0-4449-b57d-c9eb5f36b35a · outbound
This paper cites Quantum Pieri rules for isotropic Grassmannians , Invent Math, 2009, 178: 345-405.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum Pieri rules for isotropic Grassmannians , Invent Math, 2009, 178: 345-405
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:01.827542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 349b26fd-ecda-4ea5-b3d9-6cbf73e3ad42 · outbound
This paper cites Quantum K-theory of Grassmannians , Duke Math J, 2011, 156: 501-538.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum K-theory of Grassmannians , Duke Math J, 2011, 156: 501-538
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:01.680007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2dbe476d-4e26-47b0-a71c-647c0b2b72c6 · outbound
This paper cites Quantum cohomology of minuscule homogeneous spaces.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum cohomology of minuscule homogeneous spaces
Reference 11
- Resolution
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- raw_fallback, observed 2026-08-06T16:57:01.520575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85c9f526-4a75-4bc0-b5a7-6c2d4804e4f4 · outbound
This paper cites Ruan ’s conjecture on singular symplectic flops of mixed type , Sci China Math, 2014, 57: 1121-1148.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Ruan ’s conjecture on singular symplectic flops of mixed type , Sci China Math, 2014, 57: 1121-1148
Reference 12
- Resolution
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- raw_fallback, observed 2026-08-06T16:57:01.369335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf5e39b8-c6c0-4196-94a7-4b3e52be5b34 · outbound
This paper cites On quantum cohomology rings of partial flag varieties , Duke Math J, 1999, 98: 485-524.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On quantum cohomology rings of partial flag varieties , Duke Math J, 1999, 98: 485-524
Reference 13
- Resolution
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- raw_fallback, observed 2026-08-06T16:57:01.134183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 08b71705-949f-4bec-baed-8c23e34b1485 · outbound
This paper cites The crepant transformation conjecture for toric complete intersections, Adv Math, 2018, 329: 1002-1087.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation The crepant transformation conjecture for toric complete intersections, Adv Math, 2018, 329: 1002-1087
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:00.858900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 157451ce-7cf5-432b-ab7b-57a4690d0301 · outbound
This paper cites Wall-crossings in toric Gromov-Witten theory I: Crepant examples , Geom Topol, 2009, 13: 2675-2744.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Wall-crossings in toric Gromov-Witten theory I: Crepant examples , Geom Topol, 2009, 13: 2675-2744
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:00.571944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 280f66aa-b32f-4240-a3e6-58037ab6a573 · outbound
This paper cites Quantum cohomology and crepant resolutions: a conjecture , Ann Inst Fourier (Grenoble), 2013, 63: 431-478.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum cohomology and crepant resolutions: a conjecture , Ann Inst Fourier (Grenoble), 2013, 63: 431-478
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:00.288749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a9031c97-f170-48f1-a0c1-1e18e9e17d1b · outbound
This paper cites Notes on stable maps and quantum cohomology , In: Proceedings of Symposia in Pure Mathematics, 62, Part 2.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Notes on stable maps and quantum cohomology , In: Proceedings of Symposia in Pure Mathematics, 62, Part 2
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:59.976271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e985eec1-ef20-4bee-a29c-367a5e13f8b5 · outbound
This paper cites On the quantum product of Schubert classes , J Algebraic Geom, 2004, 13: 641-661.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On the quantum product of Schubert classes , J Algebraic Geom, 2004, 13: 641-661
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:59.731019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 55f308e2-a96a-45d9-ae4c-9aca4ff49e9a · outbound
This paper cites A wall-crossing formula for Gromov-Witten invariants under variation of git quotient, Math Ann, 2024, 388: 4135-4199.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation A wall-crossing formula for Gromov-Witten invariants under variation of git quotient, Math Ann, 2024, 388: 4135-4199
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:59.542592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 37257c0b-f3d5-4542-8173-be8bea66b505 · outbound
This paper cites On equivariant quantum Schubert calculus for G/P , J Algebra, 2015, 441: 21-56.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On equivariant quantum Schubert calculus for G/P , J Algebra, 2015, 441: 21-56
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:59.373243Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 595078ec-9b90-4ad1-a7fc-1de78d19c827 · outbound
This paper cites Linear algebraic groups, Graduate Texts in Mathematics 21, Springer-Verlag, New York-Berlin, 1975.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Linear algebraic groups, Graduate Texts in Mathematics 21, Springer-Verlag, New York-Berlin, 1975
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:59.201252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ab4154c4-3717-4f01-92a9-4e624abf7e76 · outbound
This paper cites An integral structure in quantum cohomology and mirror symmetry for toric orbifolds , Adv Math, 2009, 222: 1016-1079.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation An integral structure in quantum cohomology and mirror symmetry for toric orbifolds , Adv Math, 2009, 222: 1016-1079
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:58.936295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da085229-98f2-42a1-a765-a8046b591f5a · outbound
This paper cites On quantum $K$-groups of partial flag manifolds.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On quantum $K$-groups of partial flag manifolds
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:56:56.184422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 547b0774-f215-442c-bfb8-6ac1baf517ce · outbound
This paper cites Quantum cohomology of the Lagrangian Grassmannian , J Algebraic Geom, 2003, 12: 777-810.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum cohomology of the Lagrangian Grassmannian , J Algebraic Geom, 2003, 12: 777-810
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:58.673029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a8ae2064-9a6b-4ecf-9113-88c8bcaaaadc · outbound
This paper cites Quantum cohomology of orthogonal Grassmannians , Compos Math, 2004, 140: 482-500.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum cohomology of orthogonal Grassmannians , Compos Math, 2004, 140: 482-500
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:58.435419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb5e0788-38bf-4f98-a8dc-168cde5dc5dd · outbound
This paper cites Flops, motives, and invariance of quantum rings , Ann of Math (2), 2010, 172: 243-290.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Flops, motives, and invariance of quantum rings , Ann of Math (2), 2010, 172: 243-290
Reference 26
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- raw_fallback, observed 2026-08-06T16:56:58.243633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 562962b0-c6ce-4cdd-af0a-e43ba557de11 · outbound
This paper cites A Pieri-type formula for the K-theory of a flag manifold , Trans Amer Math Soc, 2007, 359: 2317-2342.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation A Pieri-type formula for the K-theory of a flag manifold , Trans Amer Math Soc, 2007, 359: 2317-2342
Reference 27
- Resolution
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- raw_fallback, observed 2026-08-06T16:56:58.016585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a9e298f-9c70-4912-b1eb-e1fae0443305 · outbound
This paper cites Functorial relationships between QH ∗(G/B) and QH ∗(G/P ), J Differential Geom, 2010, 86: 303-354.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Functorial relationships between QH ∗(G/B) and QH ∗(G/P ), J Differential Geom, 2010, 86: 303-354
Reference 28
- Resolution
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- raw_fallback, observed 2026-08-06T16:56:57.813812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e1a60227-9865-4a0d-918e-a78151337615 · outbound
This paper cites Classical aspects of quantum cohomology of generalized flag varieties , Int Math Res Not, 2012, 16: 3706-3722.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Classical aspects of quantum cohomology of generalized flag varieties , Int Math Res Not, 2012, 16: 3706-3722
Reference 29
- Resolution
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- raw_fallback, observed 2026-08-06T16:56:57.666200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 28d31dbf-aaf8-4fe1-84bc-d910c2616d51 · outbound
This paper cites Quantum Pieri rules for tautological subbundles , Adv.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum Pieri rules for tautological subbundles , Adv
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:57.508177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 411396ff-d757-44aa-84fb-3c7c2a4619be · outbound
This paper cites Functorial relationships between QH ∗(G/B) and QH ∗(G/P ) (II), Asian J Math, 2015, 19: 203-234 14 CHANGZHENG LI AND JIAYU SONG.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Functorial relationships between QH ∗(G/B) and QH ∗(G/P ) (II), Asian J Math, 2015, 19: 203-234 14 CHANGZHENG LI AND JIAYU SONG
Reference 31
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- raw_fallback, observed 2026-08-06T16:56:57.321423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ecd17d4-2c14-4c19-8a72-ce9d59ffe2c1 · outbound
This paper cites On Seidel representation in quantum K-theory of Grassmannians.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation On Seidel representation in quantum K-theory of Grassmannians
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:56:55.269055Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b52ac75b-963c-4cb0-ae02-5e1c6c009384 · outbound
This paper cites Pieri-type multiplication formula for quantum Grothendieck polynomials.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Pieri-type multiplication formula for quantum Grothendieck polynomials
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:56:56.047551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b1787aa7-79b9-450d-a51e-b14737c64dca · outbound
This paper cites Quantum cohomology of G/P , Lecture notes at MIT, 1997 (notes by J.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Quantum cohomology of G/P , Lecture notes at MIT, 1997 (notes by J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:57.187196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4d0de970-e658-433f-84c6-f45b5ff7a193 · outbound
This paper cites Affine approach to quantum Schubert calculus , Duke Math J, 2005, 128: 473-509.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Affine approach to quantum Schubert calculus , Duke Math J, 2005, 128: 473-509
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:57.058723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a44bf345-263a-45d9-b962-6af3e2b823fb · outbound
This paper cites The cohomology ring of crepant resolutions of orbifolds , In: Gromov-Witten Theory of Spin Curves and Orbifolds.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation The cohomology ring of crepant resolutions of orbifolds , In: Gromov-Witten Theory of Spin Curves and Orbifolds
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:56.917747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe55fa72-50ff-4b9c-a292-bfb552446471 · outbound
This paper cites π1 of symplectic automorphism groups and invertibles in quantum homology rings , Geom Funct Anal, 1997, 7: 1046-1095.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation π1 of symplectic automorphism groups and invertibles in quantum homology rings , Geom Funct Anal, 1997, 7: 1046-1095
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:56.784616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 262e6546-60cc-412e-b2a7-2e7aa72744d3 · outbound
This paper cites Pieri’s formula for flag manifolds and Schubert polynomials , Ann Inst Fourier (Grenoble), 1996, 46: 89-110.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Pieri’s formula for flag manifolds and Schubert polynomials , Ann Inst Fourier (Grenoble), 1996, 46: 89-110
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:56:56.653942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b038bc3-f15d-4308-8d7d-95555f8ce26f · outbound
This paper cites an unresolved cited work.
Toward quantum Pieri rule for $F\ell_n$ via Seidel representation Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:56:56.491799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.