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1 results

Virasoro constraints for moduli spaces of sheaves on surfaces

Projective and enumerative geometry
Special varieties
Surfaces and higher-dimensional varieties

Dirk van Bree
Journal: Forum of Mathematics, Sigma / Volume 11 / 2023
Published online by Cambridge University Press: 23 January 2023, e4
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We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and Pandharipande. We verify the conjecture in many nontrivial cases by using a combinatorial description of equivariant sheaves found by Klyachko.