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

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arxiv 1102.3978 v1 pith:PN2NQIJS submitted 2011-02-19 math.RT math.AG

Markus Reineke This is my paper · ORCID
classification math.RTmath.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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  1. Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.

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