On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules
Representation Theory
2016-07-26 v2 Algebraic Geometry
Abstract
We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the cohomology of non-commutative Hilbert schemes as a module over the Cohomological Hall algebra.
Keywords
Cite
@article{arxiv.1312.1499,
title = {On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules},
author = {Hans Franzen},
journal= {arXiv preprint arXiv:1312.1499},
year = {2016}
}
Comments
28 pages. v2: Final version; to appear in Math. Res. Let. Improved exposition in subsection 2.2 (thanks to the referee), results in section 3 hold for an arbitrary framing datum n