Moduli Space of Sheaves and Categorified Commutator of Functors
Algebraic Geometry
2023-03-03 v2 Quantum Algebra
Representation Theory
Abstract
We construct a weak categorification of the quantum toroidal algebra action on the Grothendieck group of moduli space of stable (or framed) sheaves over an algebraic surface, which is constructed by Schiffmann-Vasserot and Negu\c{t}. The new ingredient is two intersection-theoretic descriptions of the quadruple moduli space of stable sheaves.
Keywords
Cite
@article{arxiv.2112.12434,
title = {Moduli Space of Sheaves and Categorified Commutator of Functors},
author = {Yu Zhao},
journal= {arXiv preprint arXiv:2112.12434},
year = {2023}
}