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

Publications

Non-peer reviewed articles (11)

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

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

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

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

Peer reviewed articles (2)

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

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