Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:48:08.348823Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2509.03820.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:48:08.348823Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-24T01:06:50.940365Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-24T01:08:41.879338Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f503c540-9dd5-4e5f-812c-e4f62f225446 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Cluster structure on genus 2 spherical DAHA: seven-colored flower
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 898374a9-ff4c-4601-ae9c-8aa57a92f187 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory 11Symplectic geometry of Teichm\"uller spaces for surfaces with ideal boundary.'' Communications in Mathematical Physics 405, no
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 36f021bd-7545-4de7-b560-e6b2e81e267b · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Integrating quantum groups over surfaces.'' Journal of Topology 11, no
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b3dbf5e7-6dd6-443f-8827-06d98fcdf39b · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Quantum character varieties and braided module categories.'' Selecta Mathematica 24, no
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6553309b-b6a5-43ab-9e57-980c08b3e310 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6688b25-131b-483b-a43d-155001ff19cf · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10a0224e-4a13-4905-b9c9-98e72de0baf6 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster algebras III: Upper bounds and double Bruhat cells.'' Duke Mathematical Journal 126, no
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 938c0bea-9c9f-4bc5-8af5-82bff8c35329 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Extended Goldman symplectic structure in Fock--Goncharov coordinates.'' Journal of Differential Geometry 124, no
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4e2a049c-1f9f-4a92-8605-41bb72ad2980 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Quantum cluster algebras.'' Advances in Mathematics 195, no
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fa74b134-a563-4119-8f8c-d23f7f4806b6 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``A quantum Teichm\"uller space.'' Theoretical and Mathematical Physics 120, no
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2ab483df-62c9-4b76-90d4-7b77af634a32 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster theory of the coherent Satake category.'' Journal of the American Mathematical Society 32, no.3 (2019): 709-778
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 58798800-ec52-4b8c-b03a-01d31dacd7ff · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Quantum Q systems: from cluster algebras to quantum current algebras.'' Letters in Mathematical Physics 107 (2017): 301-341
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 63525b19-5972-42de-b278-ec314b0456d2 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Quivers with potentials and their representations II: applications to cluster algebras.'' Journal of the American Mathematical Society 23, no
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 92ecd479-4ab5-4105-8dd6-44168a5f20a4 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster -varieties, amalgamation, and Poisson--Lie groups.'' Algebraic Geometry and Number Theory Birkh¨auser, Boston, (2006): 27-68
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 61b58504-3e2f-4648-80da-8004268a1814 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Moduli spaces of local systems and higher Teichm\"uller theory.'' Publications Math\'ematiques de l'IH\'ES 103 (2006): 1-211
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bacbf45e-5868-423c-96a3-0e4f711665df · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``The quantum dilogarithm and representations of quantum cluster varieties.'' Inventiones mathematicae 175 (2009): 223-286
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 57917a10-a8e0-4b81-a73b-019685fccc67 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster ensembles, quantization and the dilogarithm.'' Annales scientifiques de l'\'Ecole normale sup\'erieure 42, no
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 29e62450-6246-4451-ac41-89f95cca16ab · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster ensembles, quantization and the dilogarithm II: The intertwiner.'' Algebra, Arithmetic, and Geometry, vol
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6977bfe3-c2a1-419a-a0b9-2fb9bb2bb410 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Strongly Coupled Quantum Discrete Liouville Theory
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bc219dc4-7912-454b-a060-692c3dbabb9b · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Loop groups, clusters, dimers and integrable systems.'' Geometry and Quantization of Moduli Spaces Springer International Publishing (2016): 1-65
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation eb8e3ec9-3b69-4749-a0aa-dba1221c2d81 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster algebras and triangulated surfaces
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 258aeb69-0165-4986-b465-c3206112bfac · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a42d7772-f7fd-4b62-a320-0560878635dc · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Double Bruhat cells and total positivity.'' Journal of the American Mathematical Society 12, no
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5ca5b3f7-5f59-47d4-a916-81abe8c55f12 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories.'' Algebra, geometry, and physics in the 21st century (2017): 31-97
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 046caa92-42ae-49e4-a6b2-ea995bf4b26a · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Residue construction of Hecke algebras.'' Advances in mathematics 128, no
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8d68b64e-b9da-4d5e-8c0e-313cacbdbc7e · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Poisson geometry of directed networks in a disk.'' Selecta Mathematica 15 (2009): 61-103
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3f160b41-8fb9-47aa-b16e-e8dea847f463 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Poisson geometry of directed networks in an annulus.'' Journal of the European Mathematical Society 14, no
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b634b861-6995-432b-ba29-d7c2565fe755 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Dimers and cluster integrable systems.'' Annales scientifiques de l'\'Ecole Normale Sup\'erieure 46, no
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da758803-e291-4f8f-a969-b548764f1e1f · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Quantum geometry of moduli spaces of local systems and representation theory
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba3dbc02-07a0-421c-b469-125f4dbca527 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory M.\,Yakimov
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ad994b1a-8324-4bb3-ba1c-9ac2790e4ffd · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Factorization Dynamics and Coxeter--Toda Lattices.'' Communications in Mathematical Physics 212, no
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation db3fe48c-05cc-45a1-83b9-1eae646fdbda · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Wilson lines and their Laurent positivity.'' Mathematische Zeitschrift 305, no
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e93903a2-8b97-4790-97bd-00cfad80d38b · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Quantum decorated character stacks
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 621984cc-614b-4adf-bdc5-f074e2e610dd · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 487ddb35-d0b7-44c7-a8e9-f571461a24d2 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a2866bc3-3677-45ff-bc90-3d6b77c79bdb · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Classical and quantum dilogarithm identities.'' SIGMA
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8ce93096-3cf7-4897-b6a5-081c80db001d · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Weil--Petersson volumes and intersection theory on the moduli space of curves'' Journal of the American Mathematical Society 20, no
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 03aba806-766a-4590-9b18-2edb720c015e · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Skein and cluster algebras of marked surfaces.'' Quantum Topology 7, no
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ae2d2717-0564-47a4-a78d-5e2fcae9f047 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Donaldson-Thomas theory and cluster algebras
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 42f68272-86e4-4af9-919d-680ad87ae06a · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Cluster algebras via cluster categories with infinite-dimensional morphism spaces.'' Compositio Mathematica 147, no
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b9a232ae-dac2-4cf0-9f11-40bb2eb6e04f · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Total positivity, Grassmannians, and networks
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58611486-54a1-405d-9c9b-05e1dbea5505 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``Duals of semisimple Poisson--Lie groups and cluster theory of moduli spaces of G -local systems.'' International Mathematics Research Notices 2022, no
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d7d44324-38da-420d-943f-ec963d705377 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory Continuous tensor categories from quantum groups I: algebraic aspects
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation abab1cd8-94b1-437f-8e65-8e5a3184acb5 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory On $b$-Whittaker functions
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 230e48a9-0cf5-47ef-9db4-256db5126098 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory ``A cluster realization of U_q (sl_n) from quantum character varieties.'' Inventiones mathematicae 216 (2019): 799-846
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 56a0d3f6-6b07-4c47-a3e3-07ddc310e70c · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory `` K -theoretic Coulomb branches of quiver gauge theories and cluster varieties.'' arXiv:1910.03186 (2019)
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19125476-b91e-4bae-ae35-e9fb22270ba3 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory In preparation
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a448e391-6e94-4c97-89ab-0d160be3faf0 · outbound
The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory uller theory.'' Handbook of Teichm\
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5548831f-685a-49cc-8a33-eeea96fa8958 · inbound
Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 41468402-25a5-45e6-bd16-8dab5c6d7509 · inbound
Liouville Blocks from Spectral Networks The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.