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Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants

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arxiv 0903.0261 v1 pith:CYECBGPE submitted 2009-03-02 math.AG math.RT

classification math.AGmath.RT
keywords modulicharacteristicsdonaldson-thomasequationseulerfunctionalintegralityinvariants
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A system of functional equations relating the Euler characteristics of moduli spaces of stable representations of quivers and the Euler characteristics of (Hilbert scheme-type) framed versions of quiver moduli is derived. This is applied to wall-crossing formulas for the Donaldson-Thomas type invariants of M. Kontsevich and Y. Soibelman, in particular confirming their integrality.

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  1. Knot-quiver correspondence: a brief review

    hep-th 2025-05 unverdicted

    A survey of the known knot-quiver correspondence, including quiver equivalences, diagonalization, and an extension to knot complements.

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