Geodesic
Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, Tome 11 (2023)

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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. 
@article{10_1017_fms_2022_107,
     author = {Dirk van Bree},
     title = {Virasoro constraints for moduli spaces of sheaves on surfaces},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {11},
     year = {2023},
     doi = {10.1017/fms.2022.107},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2022.107/}
}
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Dirk van Bree. Virasoro constraints for moduli spaces of sheaves on surfaces. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2022.107

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