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Journal article

Quivers and curves in higher dimension

Abstract:

We prove a correspondence between Donaldson–Thomas invariants of quivers with potential having trivial attractor invariants and genus zero punctured Gromov–Witten invariants of holomorphic symplectic cluster varieties. The proof relies on the comparison of the stability scattering diagram, describing the wall-crossing behavior of Donaldson–Thomas invariants, with a scattering diagram capturing punctured Gromov–Witten invariants via tropical geometry.

Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1090/tran/9232

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Peter's College
Role:
Author
ORCID:
0000-0002-1303-7019


More from this funder
Funder identifier:
https://ror.org/021nxhr62
Grant:
DMS2302116


Publisher:
American Mathematical Society
Journal:
Transactions of the American Mathematical Society More from this journal
Volume:
378
Issue:
1
Pages:
389-420
Publication date:
2024-09-03
Acceptance date:
2024-05-27
DOI:
EISSN:
1088-6850
ISSN:
0002-9947


Language:
English
Pubs id:
2299542
Local pid:
pubs:2299542
Deposit date:
2025-10-12
ARK identifier:

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