Degenerate Cohomological Hall algebra and quantized Donaldson-Thomas invariants for m-loop quivers

preprint2011arXivOpen access

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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