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

By Markus Reineke

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.Comment: 20 page

Topics: Mathematics - Representation Theory, Mathematics - Algebraic Geometry
Year: 2011
OAI identifier: oai:arXiv.org:1102.3978
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