On the K-Theoretic Hall Algebra of a Surface

Yu Zhao

doi:10.1093/imrn/rnaa123

On the K-Theoretic Hall Algebra of a Surface

Yu Zhao^*

^*Corresponding author for this work

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we define the $K$-Theoretic Hall algebra for dimension $0$ coherent sheaves on a smooth projective surface, prove that the algebra is associative, and construct a homomorphism to a shuffle algebra introduced by Negut [10].

Original language	English
Pages (from-to)	4445-4486
Number of pages	42
Journal	International Mathematics Research Notices
Volume	2021
Issue number	6
DOIs	https://doi.org/10.1093/imrn/rnaa123
Publication status	Published - 1 Mar 2021
Externally published	Yes

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On the K-Theoretic Hall Algebra of a Surface

Abstract

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