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arXiv · 1901.00831

On the $K$-theoretic Hall algebra of a surface

Yu Zhao
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Abstract

In this paper, we define the $K$-theoretic Hall algebra for $0$-dimensional coherent sheaves on a smooth projective surface, prove that the algebra is associative and construct a homomorphism to a redefined shuffle algebra analogous to Negut.

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Yu Zhao. 2019-01-03. On the $K$-theoretic Hall algebra of a surface. https://doi.org/10.1093/imrn%2Frnaa123

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