AGT relations for sheaves on surfaces
Algebraic Geometry
2023-11-22 v3 Mathematical Physics
math.MP
Representation Theory
Abstract
We consider a natural generalization of the Carlsson-Okounkov Ext operator on the K-theory groups of the moduli spaces of stable sheaves on a smooth projective surface. We compute the commutation relations between the Ext operator and the action of the deformed W-algebra on K-theory, which was developed in [18]. The conclusion is that the Ext operator is closely related with a vertex operator, thus giving a mathematical incarnation of the Alday-Gaiotto-Tachikawa correspondence for a general algebraic surface.
Cite
@article{arxiv.1711.00390,
title = {AGT relations for sheaves on surfaces},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1711.00390},
year = {2023}
}
Comments
typos fixed, presentation style improved