Non-compact Chern-Simons Theory, Positive Representations, and Cluster Varieties

Project Information

NCST

Grant agreement ID: 948885

DOI

10.3030/948885

EC signature date 16 October 2020

Start date 1 July 2021

End date 30 June 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 497 425,00

EU contribution

€ 1 497 425,00

Coordinated by

THE UNIVERSITY OF EDINBURGH
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (18)

Theta classes: generalized topological recursion, integrability and W-constraints

Author(s): Vincent Bouchard, Nitin K. Chidambaram, Alessandro Giacchetto, Sergey Shadrin
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2505.11291

Infinite friezes of affine type D

Author(s): Baur, Karin; Bittmann, Léa; Gunawan, Emily; Todorov, Gordana; Yıldırım, Emine
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2407.11232

Wall crossing, string networks and quantum toroidal algebras

Author(s): Yegor Zenkevich
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2512.24988

Quantum SL^+(N,R) as a locally compact quantum group

Author(s): Kenny De Commer, Gus Schrader, Alexander Shapiro, Christian Voigt
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2512.21579

The algebraic modular functor conjecture in type A_n quantum Teichmüller theory

Author(s): Gus Schrader, Alexander Shapiro
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2509.03820

On a determinant formula for some real regular representations

Author(s): Léa Bittmann
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2301.00784

Tensor products, q-characters and R-matrices for quantum toroidal algebras

Author(s): Duncan Laurie
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2503.08839

Quantum invariants arising from U_h sl(2|1) are q-holonomic

Author(s): Jennifer Brown, Nathan Geer
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.2403.12882

On the simplicity of the tensor product of two simple modules of quantum affine algebras

Author(s): Jian-Rong Li, Léa Bittmann
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2203.17268

Cluster Reductions, Mutations, and $q$-Painlevé Equations

Author(s): Bershtein, Mikhail; Gavrylenko, Pavlo; Marshakov, Andrei; Semenyakin, Mykola
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2411.00325

b-Hurwitz numbers from Whittaker vectors for W-algebras

Author(s): Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2401.12814

b-Hurwitz numbers from refined topological recursion

Author(s): Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2412.17502

Highest-weight vectors and three-point functions in GKO coset decomposition

Author(s): Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2404.14350

Cluster integrable systems

Author(s): Mikhail Bershtein
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2503.18573

Spiralling branes, affine qq-characters and elliptic integrable systems

Author(s): Zenkevich, Yegor
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2412.20926

K -theoretic Coulomb branches of quiver gauge theories and cluster varieties

Author(s): Gus Schrader, Alexander Shapiro
Published in: 2026
Publisher: arXiv
DOI: 10.48550/arxiv.1910.03186

The Kernel and Image of Orbit Homomorphisms for the Witt Algebra

Author(s): Tuan Anh Pham, James Timmins
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2510.00756

Cluster structure on genus 2 spherical DAHA: seven-colored flower

Author(s): Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco, Rinat Kedem, Alexander Shapiro, Michael Shapiro, Gus Schrader
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2402.16074

Peer reviewed articles (2)

Type A DAHA and Doubly Periodic Tableaux

Author(s): Chiara Novarini; Léa Bittmann; Alex Chandler; Anton Mellit
Published in: Advances in Mathematics, Issue 416, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108919

Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition

Author(s): Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov
Published in: Communications in Mathematical Physics, Issue 406, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-025-05318-1

Non-peer reviewed articles (4)

Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers

Author(s): Gaëtan Borot, Nitin Kumar Chidambaram, Giacomo Umer
Published in: Journal de l’École polytechnique — Mathématiques, Issue 12, 2025, Page(s) 1503-1564, ISSN 2429-7100
Publisher: Centre Mersenne
DOI: 10.5802/jep.316

Ruijsenaars wavefunctions as modular group matrix coefficients

Author(s): Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin, Gus Schrader, Alexander Shapiro
Published in: Letters in Mathematical Physics, Issue 114, 2024, ISSN 1573-0530
Publisher: Springer Nature
DOI: 10.1007/s11005-024-01881-1

Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture

Author(s): Nitin Kumar Chidambaram, Elba Garcia-Failde, Alessandro Giacchetto
Published in: Inventiones mathematicae, Issue 241, 2025, Page(s) 929-997, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-025-01351-y

Taking limits in topological recursion

Author(s): Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram, Reinier Kramer, Sergey Shadrin
Published in: Journal of the London Mathematical Society, Issue 112, 2025, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.70286