Open access
Date
2024-04Type
- Journal Article
ETH Bibliography
yes
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Abstract
In enumerative geometry, Virasoro constraints were first conjectured in GromovWitten theory with many new recent developments in the sheaf theoretic context. In this paper, we rephrase the sheaf theoretic Virasoro constraints in terms of primary states coming from a natural conformal vector in Joyce’s vertex algebra. This shows that Virasoro constraints are preserved under wall-crossing. As an application, we prove the conjectural Virasoro constraints for moduli spaces of torsion-free sheaves on any curve and on surfaces with only (p,p) cohomology classes by reducing the statements to the rank 1 case. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000664662Publication status
publishedExternal links
Journal / series
Inventiones mathematicaeVolume
Pages / Article No.
Publisher
SpringerSubject
14F08; 14H60; 14J60; 17B68; 17B69Funding
182181 - Cohomological field theories, algebraic cycles, and moduli spaces (SNF)
786580 - Moduli, algebraic cycles, and integration (EC)
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ETH Bibliography
yes
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