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arXiv · 2112.12434

Moduli Space of Sheaves and Categorified Commutator of Functors

Yu Zhao
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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.

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Yu Zhao. 2021-12-23. Moduli Space of Sheaves and Categorified Commutator of Functors. https://arxiv.org/abs/2112.12434

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