Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants

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.

23 pages; v2: Fixed an error in the proof of Thm. 5.1, generalized Thm. 6.1 to arbitrary quivers (not just symmetric ones)

References in corpus (1)

• Chow Rings of Fine Quiver Moduli are Tautologically Presented

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