Stability conditions, Donaldson-Thomas invariants and cluster varieties

Project Information

StabilityDTCluster

Grant agreement ID: 670298

DOI 10.3030/670298

Project closed

EC signature date 21 September 2015

Start date 1 October 2015

End date 30 September 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 556 550,00

EU contribution € 1 556 550,00

Coordinated by

THE UNIVERSITY OF SHEFFIELD
United Kingdom

Publications

Other (4)

On the wall-crossing formula for quadratic differentials

Author(s): Dylan G.L. Allegretti
Published in: 2020
Publisher: arxiv

A local compactification of the Bridgeland stability manifold

Author(s): Barbara Bolognese
Published in: 2020
Publisher: arxiv

Geometry from Donaldson-Thomas invariants

Author(s): Tom Bridgeland
Published in: 2019
Publisher: preprint

On the monodromy of the deformed cubic oscillator

Author(s): Tom Bridgeland, Davide Masoero
Published in: 2020
Publisher: arxiv

Peer reviewed articles (5)

Complex hyperkähler structures defined by Donaldson–Thomas invariants

Author(s): Tom Bridgeland, Ian A. B. Strachan
Published in: Letters in Mathematical Physics, Issue 111/2, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-021-01388-z

The monodromy of meromorphic projective structures

Author(s): Dylan Allegretti, Tom Bridgeland
Published in: Transactions of the American Mathematical Society, Issue 373/9, 2020, Page(s) 6321-6367, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8093

A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory

Author(s): Anna Barbieri, Tom Bridgeland, Jacopo Stoppa
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa294

Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces

Author(s): Dylan G.L. Allegretti
Published in: Advances in Mathematics, Issue 380, 2021, Page(s) 107610, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107610

Riemann–Hilbert problems for the resolved conifold

Author(s): Tom Bridgeland
Published in: Journal of Differential Geometry, 2020, ISSN 0022-040X
Publisher: International Press
DOI: 10.4310/jdg/1594260015

Non-peer reviewed articles (5)

Stability conditions and cluster varieties from quivers of type A

Author(s): Dylan G.L. Allegretti
Published in: Advances in Mathematics, Issue 337, 2018, Page(s) 260-293, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2018.08.017

Voros symbols as cluster coordinates

Author(s): Dylan G. L. Allegretti
Published in: Journal of Topology, Issue 12/4, 2019, Page(s) 1031-1068, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12106

A Riemann–Hilbert problem for uncoupled BPS structures

Author(s): Anna Barbieri
Published in: manuscripta mathematica, Issue 162/1-2, 2020, Page(s) 1-21, ISSN 0025-2611
Publisher: Springer Verlag
DOI: 10.1007/s00229-019-01115-y

Riemann–Hilbert problems from Donaldson–Thomas theory

Author(s): Tom Bridgeland
Published in: Inventiones mathematicae, Issue 216/1, 2019, Page(s) 69-124, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-018-0843-8

Categorified canonical bases and framed BPS states

Author(s): Dylan G. L. Allegretti
Published in: Selecta Mathematica, Issue 25/5, 2019, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-019-0518-3