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On the Semi-Stable CoHa and its Modules Arising from Smooth Models

Published 15 Feb 2015 in math.RT and math.AG | (1502.04327v3)

Abstract: We study a variant of the semi-stable Cohomological Hall algebra which we construct using equivariant Chow groups. This algebra, we call it the semi-stable ChowHa, arises as a quotient of the CoHa. Smooth models of quiver moduli give rise to modules over the semi-stable ChowHa. We prove that these modules are cyclic and we compute a presentation using Harder-Narasimhan methods.

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