Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T19:39:54.286957Z
Paper Citation Record · LEDGER
Functoriality of Coulomb branches
As of 11 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 4 inbound Pith citation observations for arXiv:2501.09962.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T00:03:21.852786Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T05:39:40.401681Z
Reference resolution
47 of 47 outbound references displayed
- verified exact13
- verified fuzzy9
- unresolved21
- parse uncertain0
- malformed identifier4
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 600f38d5-0f16-400f-be39-bbcf97dcfebe · outbound
This paper cites Symplectic singularities.
Functoriality of Coulomb branches Symplectic singularities
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.512607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 84e17a98-0445-484f-ab99-25befcb3a5eb · outbound
This paper cites Coulomb branches have symplectic singularities.
Functoriality of Coulomb branches Coulomb branches have symplectic singularities
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.767708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6f21eb09-39e0-4ca1-ba45-785d4a481c5e · outbound
This paper cites forthcoming.
Functoriality of Coulomb branches forthcoming
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.496721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 09c7a112-219f-44ae-a744-fd93c225503c · outbound
This paper cites Relative Langlands Duality.
Functoriality of Coulomb branches Relative Langlands Duality
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.071547Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c641a05-3379-4b45-96b2-448c5844285e · outbound
This paper cites Mirrors of 3d Sicilian theories.
Functoriality of Coulomb branches Mirrors of 3d Sicilian theories
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.076927Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b95a42a-e02c-484e-9c8f-4547a03f3e6c · outbound
This paper cites Equivariant Satake category and Kostant-Whittaker reduction.
Functoriality of Coulomb branches Equivariant Satake category and Kostant-Whittaker reduction
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.739041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9e2ec203-8017-4d94-a273-ce11b8a71593 · outbound
This paper cites Equivariant homology andK-theory of affine Grassmannians and Toda lattices.
Functoriality of Coulomb branches Equivariant homology andK-theory of affine Grassmannians and Toda lattices
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.087608Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d3247ea-b8ae-455d-9d85-1e11686ac192 · outbound
This paper cites Irregular connections and Kac-Moody root systems.
Functoriality of Coulomb branches Irregular connections and Kac-Moody root systems
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.093520Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91c8ddb0-4557-4a85-99f0-887f080a1654 · outbound
This paper cites Simply-laced isomonodromy systems.
Functoriality of Coulomb branches Simply-laced isomonodromy systems
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.712288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d6976abd-7b79-4362-ad18-0486c99646bf · outbound
This paper cites Partial implosions and quivers.
Functoriality of Coulomb branches Partial implosions and quivers
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.694758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eb5446c0-49e8-4099-8fa1-5397b5725a9d · outbound
This paper cites Coulomb branches of 3-dimensional gauge theories and related structures.
Functoriality of Coulomb branches Coulomb branches of 3-dimensional gauge theories and related structures
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:39:55.328355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fa94dfc2-6bbf-4e85-a3f2-dc8172f936eb · outbound
This paper cites Coulomb branches of 3 d N = 4 quiver gauge theories and slices in the affine Grassmannian.
Functoriality of Coulomb branches Coulomb branches of 3 d N = 4 quiver gauge theories and slices in the affine Grassmannian
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.114400Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca82c812-2ca7-4bb3-be2b-f9fa420e44d4 · outbound
This paper cites Ring objects in the equivariant derived Satake category arising from Coulomb branches.
Functoriality of Coulomb branches Ring objects in the equivariant derived Satake category arising from Coulomb branches
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.119462Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34496b41-fadf-4e34-9407-3123e6c13b22 · outbound
This paper cites Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II.
Functoriality of Coulomb branches Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.124436Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d553f8d7-ba8e-4c79-b759-946ca82866f5 · outbound
This paper cites Corings and Comodules.
Functoriality of Coulomb branches Corings and Comodules
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.480864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9c64d199-5cf1-4724-b8a8-0107ad98af25 · outbound
This paper cites 3d Mirror Symmetry is Mirror Symmetry.
Functoriality of Coulomb branches 3d Mirror Symmetry is Mirror Symmetry
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.134179Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96321641-3f60-49f5-b24e-a250068ccec2 · outbound
This paper cites Symplectic reduction along a submanifold.
Functoriality of Coulomb branches Symplectic reduction along a submanifold
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.645636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f5f43a0b-8bb9-40cd-b86b-0fa0703c767f · outbound
This paper cites Grimminger, Johan Martens, and Zhenghao Zhong.
Functoriality of Coulomb branches Grimminger, Johan Martens, and Zhenghao Zhong
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.463148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1bcbb7ee-8d51-4147-8d98-8bb01a706ef1 · outbound
This paper cites Symplectic duality and implosions.
Functoriality of Coulomb branches Symplectic duality and implosions
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.445276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 28ae2fcd-7be7-4639-967f-766f0c30445d · outbound
This paper cites Implosion for hyperk¨ ahler manifolds.
Functoriality of Coulomb branches Implosion for hyperk¨ ahler manifolds
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.428163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 580c55e9-34ff-43c2-9536-e7d28aaf7613 · outbound
This paper cites ku-theoretic spectral decompositions for spheres and projective spaces.
Functoriality of Coulomb branches ku-theoretic spectral decompositions for spheres and projective spaces
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:39:55.283259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 95fec1af-c486-4425-ae17-cdfbf847ef4d · outbound
This paper cites Coulomb branches of star-shaped quivers.
Functoriality of Coulomb branches Coulomb branches of star-shaped quivers
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.629310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 23830b43-4294-4f1c-bc92-55039549aa6c · outbound
This paper cites S-duality of boundary conditions in N = 4 super Yang-Mills theory.
Functoriality of Coulomb branches S-duality of boundary conditions in N = 4 super Yang-Mills theory
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.411901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dd5f8104-71c5-4e11-8597-6547b52b5c4b · outbound
This paper cites Proof of the Ginzburg-Kazhdan conjecture.
Functoriality of Coulomb branches Proof of the Ginzburg-Kazhdan conjecture
Reference 24
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-10T19:39:54.173004Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58bfaf36-2e61-41f1-acb1-87b4eec72ec5 · outbound
This paper cites The Cotangent Bundle of G/UP and Kostant–Whittaker Descent.
Functoriality of Coulomb branches The Cotangent Bundle of G/UP and Kostant–Whittaker Descent
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.611638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ed291449-9348-4c3b-a77e-97919f51b51d · outbound
This paper cites Differential operators on the base affine space of SLn and quantized Coulomb branches.
Functoriality of Coulomb branches Differential operators on the base affine space of SLn and quantized Coulomb branches
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.182026Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4142ceb-54d8-45b9-9d21-9917a959c7cb · outbound
This paper cites Perverse sheaves on a Loop group and Langlands' duality.
Functoriality of Coulomb branches Perverse sheaves on a Loop group and Langlands' duality
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.186449Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7cbf266a-5db1-4152-aabf-1396a79cd1d3 · outbound
This paper cites Differential operators on G/U and the Gelfand-Graev action.
Functoriality of Coulomb branches Differential operators on G/U and the Gelfand-Graev action
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.191914Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a82b7b74-a0a7-4fbf-a385-5d1ddb922bb0 · outbound
This paper cites Differential operators on G/U and the affine Grassmannian.
Functoriality of Coulomb branches Differential operators on G/U and the affine Grassmannian
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.196543Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97e6676d-dd9a-4b9f-a7c4-6fa2d4b93d39 · outbound
This paper cites Tate’s thesis in the de Rham setting.
Functoriality of Coulomb branches Tate’s thesis in the de Rham setting
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.201305Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae051de3-6ecc-46b1-abab-1f2e80f5f7b0 · outbound
This paper cites Bow varieties as symplectic reductions of $T^*(G/P)$.
Functoriality of Coulomb branches Bow varieties as symplectic reductions of $T^*(G/P)$
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:39:54.571091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 84e19b15-a71b-4f82-94c0-48b65dd2b8b8 · outbound
This paper cites Minimal Nilpotent Orbits of type D and E.
Functoriality of Coulomb branches Minimal Nilpotent Orbits of type D and E
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.211132Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6369806b-a081-4b82-b008-a2f135c5872a · outbound
This paper cites The Geometry of the affine closure of T ∗(SLn/U ).
Functoriality of Coulomb branches The Geometry of the affine closure of T ∗(SLn/U )
Reference 33
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.547585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 571be07b-f90e-4c4b-9b0d-61ae112e9d73 · outbound
This paper cites Symplectic singularities from the Poisson point of view.
Functoriality of Coulomb branches Symplectic singularities from the Poisson point of view
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.221152Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79e64411-74b1-455d-86d9-256bc68c184d · outbound
This paper cites Levi-Equivariant Restriction of Spherical Perverse Sheaves.
Functoriality of Coulomb branches Levi-Equivariant Restriction of Spherical Perverse Sheaves
Reference 35
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:39:54.973287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e8ff155b-61a7-48a4-96eb-4850233a2458 · outbound
This paper cites Comparison of quiver varieties, loop Grassmannians and nilpo- tent cones in type A.
Functoriality of Coulomb branches Comparison of quiver varieties, loop Grassmannians and nilpo- tent cones in type A
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.395583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ef69c694-2d5e-41d9-979c-ece542c5ebfd · outbound
This paper cites On 2d TQFTs whose values are holomorphic symplectic varieties.
Functoriality of Coulomb branches On 2d TQFTs whose values are holomorphic symplectic varieties
Reference 37
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-10T19:39:54.237087Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 793a869b-fa69-4cb2-82d7-aa164221a59d · outbound
This paper cites S-dual of Hamiltonian $\mathbf G$ spaces and relative Langlands duality.
Functoriality of Coulomb branches S-dual of Hamiltonian $\mathbf G$ spaces and relative Langlands duality
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.242049Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 718be9d2-2d08-42e8-87e9-e32c1defd582 · outbound
This paper cites Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type A.
Functoriality of Coulomb branches Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type A
Reference 39
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-10T19:39:54.389523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation adeedfb8-4c44-4251-a84f-a66e751a839f · outbound
This paper cites Nahm’s Equations, Quiver Varieties and Parabolic Sheaves.
Functoriality of Coulomb branches Nahm’s Equations, Quiver Varieties and Parabolic Sheaves
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T19:39:55.378800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation def460aa-0c88-4376-a92c-3a341aaaa59c · outbound
This paper cites Coulomb branches for quaternionic representations.
Functoriality of Coulomb branches Coulomb branches for quaternionic representations
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.256907Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a95a105-4112-4b5f-846a-04dc55d813e8 · outbound
This paper cites The rˆ ole of Coulomb branches in 2D gauge theory.
Functoriality of Coulomb branches The rˆ ole of Coulomb branches in 2D gauge theory
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.261691Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c45da025-71dc-4d6f-b110-0146b16a7bdd · outbound
This paper cites 3-Dimensional Mirror Symmetry.
Functoriality of Coulomb branches 3-Dimensional Mirror Symmetry
Reference 43
- Resolution
- verified exact
- doi, observed 2026-08-10T19:39:54.359211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c54d0fe6-9dfd-4342-9b5e-752c92ca20cf · outbound
This paper cites Generators for Coulomb branches of quiver gauge theories.
Functoriality of Coulomb branches Generators for Coulomb branches of quiver gauge theories
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.271693Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36de6855-ddf1-4e2d-bdac-33647f14539b · outbound
This paper cites Quiver gauge theories and symplectic singularities.
Functoriality of Coulomb branches Quiver gauge theories and symplectic singularities
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.281435Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6850f53-4a46-4420-9273-9a8818b05195 · outbound
This paper cites Integral homology of loop groups via Langlands dual groups.
Functoriality of Coulomb branches Integral homology of loop groups via Langlands dual groups
Reference 46
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-10T19:39:54.286957Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8cca9b52-1972-40bf-896b-855f1432fcfe · outbound
This paper cites Generators for Coulomb branches of quiver gauge theories.
Functoriality of Coulomb branches Generators for Coulomb branches of quiver gauge theories
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:39:54.276737Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 43dafab6-d7f0-4b0a-8add-3c32e22746d0 · inbound
The coordinate ring of the universal centralizer via Demazure operators cites this paper.
The coordinate ring of the universal centralizer via Demazure operators Functoriality of Coulomb branches
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T08:46:25.395629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 30885485-5b12-4e70-91dc-3bc40f2795f4 · inbound
The coordinate ring of the universal centralizer via Demazure operators cites this paper.
The coordinate ring of the universal centralizer via Demazure operators Functoriality of Coulomb branches
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T07:57:31.359702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b8f75422-417a-4653-b51e-6cd7864a01b8 · inbound
Convolution algebras associated to representations cites this paper.
Convolution algebras associated to representations Functoriality of Coulomb branches
Reference 8
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T05:39:40.403678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 58aa741f-5369-46f1-bb6d-4f5c8fad88f7 · inbound
On the geometry of Coulomb branches cites this paper.
On the geometry of Coulomb branches Functoriality of Coulomb branches
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T00:03:21.852786Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.