Paper Citation Record · LEDGER

Quantum K-theory levels in physics and math

As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 4 inbound Pith citation observations for arXiv:2507.00116.

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

pith.paper-citation-record.v1
2507.00116 v2

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measured 60 of 60 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T21:31:17.605059Z

measured 64 of 64 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T04:30:43.031868Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T17:08:43.869438Z

Reference resolution

60 of 60 outbound references displayed

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verified fuzzy4
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Outbound references

Observation 4f8ccc3d-938d-494a-8ee4-75ce8eaaa9f1 · outbound

This paper cites Defects and Quantum Seiberg-Witten Geometry.

Quantum K-theory levels in physics and math Defects and Quantum Seiberg-Witten Geometry

Reference 1

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Observation 04b79001-4259-4f3c-87e7-e090068ffaaa · outbound

This paper cites A 3d Gauge Theory/Quantum K-Theory Correspondence.

Quantum K-theory levels in physics and math A 3d Gauge Theory/Quantum K-Theory Correspondence

Reference 2

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Observation ae275d9e-d52b-4a49-ace0-db997f3c89e4 · outbound

This paper cites Quantum K-Theory of Calabi-Yau Manifolds.

Quantum K-theory levels in physics and math Quantum K-Theory of Calabi-Yau Manifolds

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:12.159046Z

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Observation b6a6f2b8-ec67-4108-9890-78742a8de38a · outbound

This paper cites Wilson loop algebras and quantum K-theory for Grassmannians.

Quantum K-theory levels in physics and math Wilson loop algebras and quantum K-theory for Grassmannians

Reference 4

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Observation 6b5c5101-59c9-47ae-993c-4aeb0cd85e5b · outbound

This paper cites BPS Indices, Modularity and Perturbations in Quantum K-theory.

Quantum K-theory levels in physics and math BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:12.374843Z

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Observation ad320802-b242-4ce8-bc0e-0dfcbfa14103 · outbound

This paper cites 3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians.

Quantum K-theory levels in physics and math 3d N=2 Chern-Simons-matter theory, Bethe ansatz, and quantum K-theory of Grassmannians

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:12.482310Z

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Observation b5ffd578-a300-439b-acdc-e2a8d130e61c · outbound

This paper cites Quantum K-theory of Quiver Varieties and Many-Body Systems.

Quantum K-theory levels in physics and math Quantum K-theory of Quiver Varieties and Many-Body Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:12.592886Z

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Observation dc417913-bbd9-454b-9d08-307d1c5c935f · outbound

This paper cites Comments on twisted indices in 3d supersymmetric gauge theories.

Quantum K-theory levels in physics and math Comments on twisted indices in 3d supersymmetric gauge theories

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:12.700317Z

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Observation c8c7b60b-3558-463d-9f5e-7d9a12f762bb · outbound

This paper cites Supersymmetric partition functions and the three-dimensional A-twist.

Quantum K-theory levels in physics and math Supersymmetric partition functions and the three-dimensional A-twist

Reference 9

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Observation 90c688bd-599f-4690-a5ff-a0b4f20e89ed · outbound

This paper cites Seifert fibering operators in 3d $\mathcal{N}=2$ theories.

Quantum K-theory levels in physics and math Seifert fibering operators in 3d $\mathcal{N}=2$ theories

Reference 10

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Observation 40e60c74-64fb-4fdd-b992-016a7b819ecf · outbound

This paper cites Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review.

Quantum K-theory levels in physics and math Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review

Reference 11

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Observation 93c69d7b-f136-4df2-bd0c-dafb96b1bf3b · outbound

This paper cites Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities.

Quantum K-theory levels in physics and math Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities

Reference 12

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Observation 83ef0c96-9b7f-4627-84de-d201d0bf37d0 · outbound

This paper cites Grothendieck lines in 3d $\mathcal{N}=2$ SQCD and the quantum K-theory of the Grassmannian.

Quantum K-theory levels in physics and math Grothendieck lines in 3d $\mathcal{N}=2$ SQCD and the quantum K-theory of the Grassmannian

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:13.162422Z

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Observation 547afafd-23c0-4809-9a2d-e027026575bc · outbound

This paper cites Quantum K theory of symplectic Grassmannians.

Quantum K-theory levels in physics and math Quantum K theory of symplectic Grassmannians

Reference 14

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Observation 21cbf7db-139f-4721-a0f2-fa51f4033b81 · outbound

This paper cites Quantum K theory rings of partial flag manifolds.

Quantum K-theory levels in physics and math Quantum K theory rings of partial flag manifolds

Reference 15

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Observation e8c87efc-2911-4db9-a939-0735c8cf95d6 · outbound

This paper cites Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles.

Quantum K-theory levels in physics and math Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles

Reference 16

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Observation 74e5852c-7430-44d8-920d-542a179ceef5 · outbound

This paper cites Quantum K Whitney relations for partial flag varieties.

Quantum K-theory levels in physics and math Quantum K Whitney relations for partial flag varieties

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:13.632869Z

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Observation f9dd14f4-7488-41ec-92e5-73922f31ea78 · outbound

This paper cites The level structure in quantum K-theory and mock theta functions.

Quantum K-theory levels in physics and math The level structure in quantum K-theory and mock theta functions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:13.734491Z

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Observation 8b34e3aa-6d48-4e4e-91e4-863ea35b56e2 · outbound

This paper cites Quantum $K$-theory of toric varieties, level structures, and 3d mirror symmetry.

Quantum K-theory levels in physics and math Quantum $K$-theory of toric varieties, level structures, and 3d mirror symmetry

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:13.862067Z

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Observation 5a53c0a4-f578-4204-95d2-374ce96e2108 · outbound

This paper cites One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories.

Quantum K-theory levels in physics and math One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.441799Z

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Observation 7305382a-78f5-472b-b1f5-f95249295c0f · outbound

This paper cites Quantum K-rings of partial flags, Coulomb branches, and the Bethe ansatz,.

Quantum K-theory levels in physics and math Quantum K-rings of partial flags, Coulomb branches, and the Bethe ansatz,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:14.037926Z

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Observation 558e3b99-4714-41ba-b162-a3489387c6ef · outbound

This paper cites Relations in twisted quantum K-rings,.

Quantum K-theory levels in physics and math Relations in twisted quantum K-rings,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:14.133845Z

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Observation d5964c56-7a64-4f36-ba77-cfd398ea90dc · outbound

This paper cites The K-theory of abelian symplectic quotients.

Quantum K-theory levels in physics and math The K-theory of abelian symplectic quotients

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.269906Z

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Observation b9f85e21-dc48-460a-8c53-297fa7b00883 · outbound

This paper cites Symplectic quotients by a nonabelian group and by its maximal torus.

Quantum K-theory levels in physics and math Symplectic quotients by a nonabelian group and by its maximal torus

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:14.338154Z

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Observation ed3792a3-b11d-409d-99ab-1cfabd04b860 · outbound

This paper cites The Abelian/Nonabelian Correspondence and Frobenius Manifolds.

Quantum K-theory levels in physics and math The Abelian/Nonabelian Correspondence and Frobenius Manifolds

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.234002Z

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Observation ce302331-b8f5-4343-a18d-b6b4b24bfdd1 · outbound

This paper cites K-Theoretic $I$-function of $V//_{\theta} \mathbf{G}$ and Application.

Quantum K-theory levels in physics and math K-Theoretic $I$-function of $V//_{\theta} \mathbf{G}$ and Application

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.213992Z

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Observation 3d293bb9-cd18-4902-a1d9-8193e7115e93 · outbound

This paper cites Quantum K-theory of grassmannians and non-abelian localization.

Quantum K-theory levels in physics and math Quantum K-theory of grassmannians and non-abelian localization

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.193204Z

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Observation 18745767-00af-4972-9f39-ce1da17eb40b · outbound

This paper cites Quantum K-theory of flag varieties via non-abelian localization.

Quantum K-theory levels in physics and math Quantum K-theory of flag varieties via non-abelian localization

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.171952Z

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Observation 0b80ddf4-d789-4b92-876f-f766156e359c · outbound

This paper cites Quantum K-Theory I: Foundations.

Quantum K-theory levels in physics and math Quantum K-Theory I: Foundations

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.152518Z

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Observation 24003f44-262f-45da-aaed-c3c0f455b716 · outbound

This paper cites On the WDVV-equation in quantum K-theory.

Quantum K-theory levels in physics and math On the WDVV-equation in quantum K-theory

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.133241Z

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Observation 091fa0ff-8452-4bdc-8c80-c13708a1980e · outbound

This paper cites Permutation-equivariant quantum K-theory III. Lefschetz' formula on $\overline{M}_{0,n}/S_n$ and adelic characterization.

Quantum K-theory levels in physics and math Permutation-equivariant quantum K-theory III. Lefschetz' formula on $\overline{M}_{0,n}/S_n$ and adelic characterization

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.114097Z

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Observation c235bc0c-78de-4be7-bfa3-8d4c7559bc7d · outbound

This paper cites Wall-crossing in genus zero quasimap theory and mirror maps.

Quantum K-theory levels in physics and math Wall-crossing in genus zero quasimap theory and mirror maps

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:19.093174Z

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Observation 364024e0-bd85-49ef-9ed5-f835261640db · outbound

This paper cites Huq-Kuruvilla, L.

Quantum K-theory levels in physics and math Huq-Kuruvilla, L

Reference 33

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Observation d3a0b24a-77cc-4f89-ac44-3f1b7e76e896 · outbound

This paper cites On Phases of 3d ${\cal N}=2$ Chern-Simons-Matter Theories.

Quantum K-theory levels in physics and math On Phases of 3d ${\cal N}=2$ Chern-Simons-Matter Theories

Reference 35

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Observation 861b1064-75c4-4e4e-9b25-eb8a44512143 · outbound

This paper cites Vacuum Structures Revisited.

Quantum K-theory levels in physics and math Vacuum Structures Revisited

Reference 36

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Observation 7f10d80d-1442-45bc-9cf8-93cf885be986 · outbound

This paper cites Decomposition squared.

Quantum K-theory levels in physics and math Decomposition squared

Reference 37

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Observation e4377501-c296-4061-9030-4defb48e151c · outbound

This paper cites Stable quasimaps to GIT quotients.

Quantum K-theory levels in physics and math Stable quasimaps to GIT quotients

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:15.716811Z

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Observation 26665b0f-7b03-41bb-a934-566c398603bb · outbound

This paper cites Quantum Riemann - Roch, Lefschetz and Serre.

Quantum K-theory levels in physics and math Quantum Riemann - Roch, Lefschetz and Serre

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:15.784357Z

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Observation e1a50537-5652-468f-9e01-8d8fc6a14a4c · outbound

This paper cites Notes on stable maps and quantum cohomology.

Quantum K-theory levels in physics and math Notes on stable maps and quantum cohomology

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:15.869893Z

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Observation 29891e42-4b1d-4c49-a780-0a6302de8756 · outbound

This paper cites The connectedness of the moduli space of maps to homogeneous spaces.

Quantum K-theory levels in physics and math The connectedness of the moduli space of maps to homogeneous spaces

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:18.963309Z

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Observation a32163e9-1ba3-484c-aa70-5a2441face34 · outbound

This paper cites K-theoretic quasimap invariants and their wall-crossing.

Quantum K-theory levels in physics and math K-theoretic quasimap invariants and their wall-crossing

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:18.942270Z

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Observation e5c44b1b-20b8-4e58-9162-bb2cad860394 · outbound

This paper cites Reconstruction and Convergence in Quantum $K$-Theory via Difference Equations.

Quantum K-theory levels in physics and math Reconstruction and Convergence in Quantum $K$-Theory via Difference Equations

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.235409Z

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Observation 31984814-8620-48e8-b792-28e40ab85d18 · outbound

This paper cites $K$-theoretic quasimap wall-crossing.

Quantum K-theory levels in physics and math $K$-theoretic quasimap wall-crossing

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:18.825084Z

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Observation 4acc59d5-2165-40c4-8b5c-141d85487122 · outbound

This paper cites Zakharevich, K-theory and characteristic classes: A homotopical perspective, Novem- ber 4, 2024, available at https://pi.math.cornell.edu/~zakh/book.pdf.

Quantum K-theory levels in physics and math Zakharevich, K-theory and characteristic classes: A homotopical perspective, Novem- ber 4, 2024, available at https://pi.math.cornell.edu/~zakh/book.pdf

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:31:19.782555Z

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Observation 6c2be2d2-7223-4aa5-a8f5-4eed2d0c2598 · outbound

This paper cites On the finiteness of quantum K-theory of a homogeneous space.

Quantum K-theory levels in physics and math On the finiteness of quantum K-theory of a homogeneous space

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.468078Z

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Observation be12a576-9f2e-4dd6-9558-09862370f012 · outbound

This paper cites Aspects of 3d N=2 Chern-Simons-Matter Theories.

Quantum K-theory levels in physics and math Aspects of 3d N=2 Chern-Simons-Matter Theories

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.568688Z

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Observation b1bb0bb4-03d2-45c1-8b3b-0728e9b6e1f6 · outbound

This paper cites On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels.

Quantum K-theory levels in physics and math On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.668627Z

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Observation 55b737f6-57f3-47c0-bc09-80f04f5ee30d · outbound

This paper cites Loop structure on equivariant $K$-theory of semi-infinite flag manifolds.

Quantum K-theory levels in physics and math Loop structure on equivariant $K$-theory of semi-infinite flag manifolds

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.732094Z

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Observation 19e390f6-bc1d-4078-8a95-f18cb77e8efa · outbound

This paper cites Level correspondence of $K$-theoretic $I$-function in Grassmann duality.

Quantum K-theory levels in physics and math Level correspondence of $K$-theoretic $I$-function in Grassmann duality

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:18.516338Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7a458363-453e-45eb-9860-03e0393537da · outbound

This paper cites Quantum K--theory of Grassmannians from a Yang-Baxter algebra.

Quantum K-theory levels in physics and math Quantum K--theory of Grassmannians from a Yang-Baxter algebra

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.878064Z

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Observation f62f6d97-8d52-4c33-b715-d4f90aeef2b6 · outbound

This paper cites Closset, private communication.

Quantum K-theory levels in physics and math Closset, private communication

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:31:19.768195Z

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Observation 1469af7f-c755-4f6e-9aea-19644b7db109 · outbound

This paper cites GLSM's for partial flag manifolds.

Quantum K-theory levels in physics and math GLSM's for partial flag manifolds

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:16.990208Z

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Observation b6027ee3-bbeb-46cf-8ad9-5d3f377f344a · outbound

This paper cites A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part I: the defining ideal.

Quantum K-theory levels in physics and math A presentation of the torus-equivariant quantum $K$-theory ring of flag manifolds of type $A$, Part I: the defining ideal

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:17.046451Z

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Observation 03f15bb8-88e5-4381-8760-c94126b6358d · outbound

This paper cites Toda-type presentations for the quantum K theory of partial flag varieties.

Quantum K-theory levels in physics and math Toda-type presentations for the quantum K theory of partial flag varieties

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:17.185472Z

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Observation 72363a7f-9481-4fe5-a52b-17de54e67e7d · outbound

This paper cites Notes on gauging noneffective group actions.

Quantum K-theory levels in physics and math Notes on gauging noneffective group actions

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:17.265127Z

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Observation e755b0b1-b0f8-47bb-a90f-eb14777cad6c · outbound

This paper cites GLSM's for gerbes (and other toric stacks).

Quantum K-theory levels in physics and math GLSM's for gerbes (and other toric stacks)

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:17.333219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02670052-0197-4cdb-8c4a-71aa155db66e · outbound

This paper cites String compactifications on Calabi-Yau stacks.

Quantum K-theory levels in physics and math String compactifications on Calabi-Yau stacks

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:17.381241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 205004ea-a990-4e98-82ba-5ec3214edc1f · outbound

This paper cites Quantum K-theory of toric stacks,.

Quantum K-theory levels in physics and math Quantum K-theory of toric stacks,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:31:19.753706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7601a24e-ef20-464c-93ae-c27164c0569c · outbound

This paper cites Stringy K-theory and the Chern character.

Quantum K-theory levels in physics and math Stringy K-theory and the Chern character

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:18.110148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9bbc07d5-8957-4583-b633-7b4bf34eb778 · outbound

This paper cites Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera.

Quantum K-theory levels in physics and math Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:31:17.912388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 395068ec-b642-4ab5-9e75-26712bb3ce54 · inbound

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries cites this paper.

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries Quantum K-theory levels in physics and math

Reference 96

Resolution: verified exact; arxiv_id, observed 2026-05-21T23:25:45.415030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9c2bec34-85d4-42dd-8787-0ca2d4188360 · inbound

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials cites this paper.

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials Quantum K-theory levels in physics and math

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:11:13.361759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dea4ae57-ef68-4487-9378-10eac7162d61 · inbound

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials cites this paper.

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials Quantum K-theory levels in physics and math

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:37:44.997327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4e4c2ab8-ae96-4eed-bf26-b52fc7ea1fc9 · inbound

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective cites this paper.

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective Quantum K-theory levels in physics and math

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-03T17:08:43.870775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.