Moduli Space of Sheaves and Categorified Commutator of Functors

2021/12/23 by Yu Zhao, Zhao, Yu
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2112.12434

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 Neguţ. The new ingredient is two intersection-theoretic descriptions of the quadruple moduli space of stable sheaves.

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