Categorified Donaldson-Thomas Theory

Project Information

CatDT

Grant agreement ID: 759967

DOI

10.3030/759967

Project closed

EC signature date 27 October 2017

Start date 1 November 2017

End date 30 April 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 239 435,00

EU contribution

€ 1 239 435,00

Coordinated by

THE UNIVERSITY OF EDINBURGH
United Kingdom

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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 (7)

BPS Lie algebras for totally negative 2-Calabi-Yau categories and nonabelian Hodge theory for stacks

Author(s): Davison, Ben; Hennecart, Lucien; Mejia, Sebastian Schlegel
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arxiv.2212.07668

BPS algebras and generalised Kac-Moody algebras from 2-Calabi-Yau categories

Author(s): Davison, Ben; Hennecart, Lucien; Mejia, Sebastian Schlegel
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2303.12592

Geometric realisations of the unipotent enveloping algebra of a quiver

Author(s): Hennecart, Lucien
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arxiv.2209.06552

BPS Lie algebras and the less perverse filtration on the preprojective CoHA

Author(s): Davison, Ben
Published in: 2020
Publisher: Arxiv
DOI: 10.48550/arxiv.2007.03289

Bracelets bases are theta bases

Author(s): Mandel, Travis; Qin, Fan
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2301.11101

Refined invariants of finite-dimensional Jacobi algebras

Author(s): Davison, Ben
Published in: 2019
Publisher: Arxiv.org

Fano mirror periods from the Frobenius structure conjecture

Author(s): Mandel, Travis
Published in: 2019
Publisher: arxiv.org

Peer reviewed articles (11)

Scattering diagrams, theta functions, and refined tropical curve counts

Author(s): Travis Mandel
Published in: Journal of the London Mathematical Society, Issue 104, 2021, Page(s) 2299-2334, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12498

Descendant log Gromov-Witten invariants for toric varieties and tropical curves

Author(s): Mandel, Travis; Ruddat, Travis
Published in: Transactions of the American Mathematical Society, Issue 373, 2020, Page(s) 1109-1152, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7936

Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra

Author(s): Przezdziecki, Tomasz
Published in: Pacific Journal of Mathematics, Issue 322, 2023, Page(s) 407-441, ISSN 0030-8730
Publisher: University of California at Berkeley
DOI: 10.2140/pjm.2023.322.407

Nonabelian Hodge theory for stacks and a stacky P=W conjecture

Author(s): Ben Davison
Published in: Nonabelian Hodge theory for stacks and a stacky P=W conjecture, Issue 415, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108889

A boson-fermion correspondence in cohomological Donaldson-Thomas theory

Author(s): Davison, Ben
Published in: Glasgow Mathematical Journal, 2022, Page(s) 28-52, ISSN 0017-0895
Publisher: Cambridge University Press
DOI: 10.1017/s001708952200009x

A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves

Author(s): Battistella, Luca; Carocci, Francesca
Published in: Geometry and Topology, Issue 27, 2023, Page(s) 1203-1272, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2023.27.1203

Enumerating coloured partitions in 2 and 3 dimensions

Author(s): BEN DAVISON, JARED ONGARO, BALÁZS SZENDRŐI
Published in: Mathematical Proceedings of the Cambridge Philosophical Society, 2018, Page(s) 1-27, ISSN 0305-0041
Publisher: Cambridge University Press
DOI: 10.1017/S0305004119000252

Strong positivity for quantum theta bases of quantum cluster algebras

Author(s): Davison, Ben; Mandel, Travis
Published in: Inventiones Mathematicae, Issue 226, 2021, Page(s) 725-843, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01061-1

Deformed dimensional reduction

Author(s): Davison, Ben; Pădurariu, Tudor
Published in: Geometry and Topology, Issue 26, 2022, Page(s) 721-776, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.721

The local motivic DT/PT correspondence

Author(s): Ben Davison; Andrea T. Ricolfi
Published in: Journal of the London Mathematical Society, Issue 104, 2021, Page(s) 1384-1432, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12463

Classification of Rank 2 Cluster Varieties

Author(s): Mandel, Travis
Published in: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Issue 15, 2019, Page(s) 1-32, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2019.042

Non-peer reviewed articles (4)

Tropical quantum field theory, mirror polyvector fields, and multiplicities of tropical curves

Author(s): Mandel, Travis; Ruddat, Helge
Published in: International Mathematics Research Notices, Issue 4, 2023, Page(s) 3249-3304, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab332

Theta bases and log Gromov-Witten invariants of cluster varieties

Author(s): Mandel, Travis
Published in: Transactions of the American Mathematical Society, Issue 374, 2021, Page(s) 5433-5471, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8398

Virtual counts on Quot schemes and the higher rank local DT/PT correspondence

Author(s): Beentjes, Sjoerd; Ricolfi, Andrea
Published in: Mathematical Research Letters, Issue 4, 2018, Page(s) 967-1032, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2021.v28.n4.a2

Donaldson-Thomas invariants from tropical disks

Author(s): Cheung, Man-Wai; Mandel, Travis
Published in: Selecta Mathematica, Issue 26, 2020, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-020-00580-8