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arxiv: 1901.00831 · v2 · pith:AJCF7I6Nnew · submitted 2019-01-03 · 🧮 math.AG

On the K-theoretic Hall algebra of a surface

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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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