Refined invariants in combinatorics, low-dimensional topology and geometry of moduli spaces

Project Information

REFINV

Grant agreement ID: 101001159

DOI

10.3030/101001159

EC signature date 26 February 2021

Start date 1 June 2021

End date 31 May 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 996 023,00

EU contribution

€ 1 996 023,00

Coordinated by

UNIVERSITAT WIEN
Austria

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

Non-peer reviewed articles (17)

Cluster algebras in Lie and Knot theory

Author(s): Gorsky, Mikhail; Simental, José
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2308.12935

Extriangulated ideal quotients, with applications to cluster theory and gentle algebras

Author(s): Fang, Xin; Gorsky, Mikhail; Palu, Yann; Plamondon, Pierre-Guy; Pressland, Matthew
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2308.05524

Modulo $\ell$ distinction problems

Author(s): Cui, Peiyi; Lanard, Thomas; Lu, Hengfei
Published in: ArXiv.org, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2203.14788

A functorial approach to rank functions on triangulated categories

Author(s): Conde, Teresa; Gorsky, Mikhail; Marks, Frederik; Zvonareva, Alexandra
Published in: ArXiv.org, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2209.00898

Irreducible components of two-column $\Delta$-Springer fibers

Author(s): Connor, Joshua P.; Griffin, Sean T.; Purohit, Kavish A.
Published in: ArXiv.org, Issue 1, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2411.17222

Hereditary extriangulated categories: Silting objects, mutation, negative extensions

Author(s): Gorsky, Mikhail; Nakaoka, Hiroyuki; Palu, Yann
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2303.07134

Cluster deep loci and mirror symmetry

Author(s): Castronovo, Marco; Gorsky, Mikhail; Simental, José; Speyer, David E
Published in: ArXiv.org, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2402.16970

Unramified Gromov-Witten and Gopakumar-Vafa invariants

Author(s): Nesterov, Denis
Published in: ArXiv.org, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2405.18398

Coherent sheaves on surfaces, COHAs and deformed $W_{1+\infty}$-algebras

Author(s): Mellit, Anton; Minets, Alexandre; Schiffmann, Olivier; Vasserot, Eric
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2311.13415

$P=W$ via $H_2$

Author(s): Hausel, Tamas; Mellit, Anton; Minets, Alexandre; Schiffmann, Olivier
Published in: ArXiv.org, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2209.05429

On quasimap invariants of moduli spaces of Higgs bundles

Author(s): Nesterov, Denis
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2306.15624

Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials

Author(s): Gorsky, Mikhail; Haiden, Fabian
Published in: ArXiv.org, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2409.10154

A structural view of maximal green sequences

Author(s): Gorsky, Mikhail; Williams, Nicholas J.
Published in: ArXiv.org, 2023, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2301.08681

Refined Verlinde and Segre formula for Hilbert schemes

Author(s): Göttsche, Lothar; Mellit, Anton
Published in: ArXiv.org, 2022, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2210.01059

GKM spaces, and the signed positivity of the nabla operator

Author(s): Carlsson, Erik; Mellit, Anton
Published in: ArXiv.org, 2021, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2110.07591

Positroid Links and Braid varieties

Author(s): Casals, R.; Gorsky, E.; Gorsky, M.; Simental, J. ; https://orcid.org/0000-0002-8626-4634
Published in: arXiv, Issue 1, 2021, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2105.13948

Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras

Author(s): Wen, Joshua Jeishing
Published in: ArXiv.org, 2024, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.48550/arxiv.2407.07679

Peer reviewed articles (5)

Cluster structures on braid varieties

Author(s): Roger Casals, Eugene Gorsky, Mikhail Gorsky, Ian Le, Linhui Shen, José Simental
Published in: Journal of the American Mathematical Society, Issue 38, 2025, Page(s) 369-479, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/1048

On the lattices of exact and weakly exact structures

Author(s): Rose-Line Baillargeon; Thomas Brüstle; Mikhail Gorsky; Souheila Hassoun
Published in: Journal of Algebra, Issue 612, 2022, Page(s) 77-109, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2022.07.043

Toric stratifications of character varieties

Author(s): Anton Mellit
Published in: Publications mathématiques de l'IHÉS, Issue 142, 2026, Page(s) 153-240, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-025-00158-0

Clusters and Weaves

Author(s): Mikhail Gorsky, José Simental
Published in: Notices of the American Mathematical Society, Issue 71, 2024, Page(s) 1, ISSN 0002-9920
Publisher: Mathematical Association of America
DOI: 10.1090/noti3000

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, Page(s) 108919, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108919