On the Semi-Stable CoHa and its Modules Arising from Smooth Models
Representation Theory
2016-08-26 v3 Algebraic Geometry
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.
Cite
@article{arxiv.1502.04327,
title = {On the Semi-Stable CoHa and its Modules Arising from Smooth Models},
author = {Hans Franzen},
journal= {arXiv preprint arXiv:1502.04327},
year = {2016}
}
Comments
20 pages, comments welcome; v2: minor edits, references added; v3: Co. 4.4 deserved some explanation, further minor edits