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

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

2011-02-19

arxiv.org/abs/1102.3978v1

Mathematics

Representation Theory

20 pages

Scientific paper

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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