Degenerate Cohomological Hall Algebra and Quantized Donaldson-Thomas Invariants for m-Loop Quivers

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.

2010 Mathematics Subject Classification: Primary 16G20, secondary 05E05, 14N35

Keywords and Phrases: Quantized Donaldson-Thomas invariant, Cohomological Hall algebra, Noncommutative Hilbert scheme

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