Tautological bases of CoHA modules
Algebraic Geometry
2021-11-22 v1 Representation Theory
Abstract
Given a quiver, we consider its cohomological Hall algebra (CoHA) as well as CoHA modules built of cohomology groups of non-commutative Hilbert schemes. We investigate cell decompositions of non-commutative Hilbert schemes and the corresponding (non-canonical) bases of CoHA modules. We construct canonical bases of CoHA modules, which consist of products of Chern classes of tautological vector bundles over non-commutative Hilbert schemes. This result generalizes classical results for Grassmannians and (partial) flag varieties.
Keywords
Cite
@article{arxiv.2111.10114,
title = {Tautological bases of CoHA modules},
author = {Hans Franzen and Sergey Mozgovoy},
journal= {arXiv preprint arXiv:2111.10114},
year = {2021}
}
Comments
27 pages