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On the K -Theoretic Hall Algebra of a Surface

Yu Zhao

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Source: Crossref

Published: Jul 8, 2020

DOI: 10.1093/imrn/rnaa123

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Abstract In this paper, we define the KK-theoretic Hall algebra for dimension 00 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].

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On the K -Theoretic Hall Algebra of a Surface — Mathematical Frontier Network