Virasoro constraints for moduli spaces of sheaves on surfaces
Algebraic Geometry
2021-09-13 v1
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.
Keywords
Cite
@article{arxiv.2109.04889,
title = {Virasoro constraints for moduli spaces of sheaves on surfaces},
author = {Dirk van Bree},
journal= {arXiv preprint arXiv:2109.04889},
year = {2021}
}
Comments
21 pages + appendix, 3 figures. Comments welcome!