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arXiv · 1512.03748

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

H. Franzen·M. Reineke
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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.

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BibTeXRIS

H. Franzen, M. Reineke. 2016-04-21. Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants. https://doi.org/10.2140/ant.2018.12.1001

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