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arxiv: 1102.3978 · v1 · pith:PN2NQIJSnew · submitted 2011-02-19 · 🧮 math.RT · math.AG

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

classification 🧮 math.RT math.AG
keywords algebracohomologicaldegeneratedonaldson-thomashallinvariantsm-loopquantized
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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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