Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$-loop quivers.

Markus Reineke

doi:10.4171/dm/359

JournalsdmVol. 17pp. 1–22

Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$ -loop quivers.

Markus Reineke
Fachbereich C Mathematik und Naturwissenschaften Bergische Universität Wuppertal Gaußstr. 20 D 42097 Wuppertal Deutschland

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Abstract

We derive a combinatorial formula for quantized Donaldson-Thomas invariants of the $m$ -loop quiver. Our main tools are the combinatorics of noncommutative Hilbert schemes and a degenerate version of the Cohomological Hall algebra of this quiver.

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Markus Reineke, Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$ -loop quivers.. Doc. Math. 17 (2012), pp. 1–22

DOI 10.4171/DM/359