Generators for categorical Hall algebras of surfaces

Published 9 Jun 2021 in math.AG and math.RT | (2106.05176v4)

Abstract: For a smooth surface $S$, Porta-Sala defined a categorical Hall algebra generalizing previous work in K-theory of Zhao and Kapranov-Vasserot. We construct semi-orthogonal decompositions for categorical Hall algebras of points on $S$. We refine these decompositions in K-theory for a topological K-theoretic Hall algebra.

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Tudor Pădurariu

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