On the K-theoretic Hall algebra of a surface
pith:AJCF7I6Nopen to challenge →
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math.AG
keywords
algebrahallsurfacetheoreticanalogousassociativecoherentconstruct
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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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