Virasoro constraints for moduli spaces of sheaves on surfaces

Dirk van Bree

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arXiv · 2109.04889

Virasoro constraints for moduli spaces of sheaves on surfaces

Dirk van Bree

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Abstract

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 (arXiv:2008.13746) and Moreira, Oblomkov, Okounkov and Pandharipande (arXiv:2008.12514). We verify the conjecture in many nontrivial cases by using a combinatorial description of equivariant sheaves found by Klyachko.

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Dirk van Bree. 2021-09-10. Virasoro constraints for moduli spaces of sheaves on surfaces. https://arxiv.org/abs/2109.04889

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