Reineke, Markus

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

Doc. Math., J. DMV 17, 1-22 (2012)

Summary

Summary: 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.

Mathematics Subject Classification

16G20, 05E05, 14N35

Keywords/Phrases

quantized Donaldson-Thomas invariant, cohomological Hall algebra, noncommutative Hilbert scheme

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