%0 Journal Article
%T Semi-Stable Chow--Hall Algebras of Quivers and Quantized Donaldson--Thomas Invariants
%A H. Franzen
%A M. Reineke
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1512.03748v1