Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants
Representation Theory
2018-08-08 v2 Algebraic Geometry
Abstract
The semi-stable ChowHa of a quiver with stability is defined as an analog of the Cohomological Hall algebra of Kontsevich and Soibelman via convolution in equivariant Chow groups of semi-stable loci in representation varieties of quivers. We prove several structural results on the semi-stable ChowHa, namely isomorphism of the cycle map, a tensor product decomposition, and a tautological presentation. For symmetric quivers, this leads to an identification of their quantized Donaldson-Thomas invariants with the Chow-Betti numbers of moduli spaces.
Keywords
Cite
@article{arxiv.1512.03748,
title = {Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants},
author = {H. Franzen and M. Reineke},
journal= {arXiv preprint arXiv:1512.03748},
year = {2018}
}
Comments
23 pages; v2: Fixed an error in the proof of Thm. 5.1, generalized Thm. 6.1 to arbitrary quivers (not just symmetric ones)