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Wild quantum dilogarithm identities

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arxiv 2302.12062 v1 pith:RBE2Q3LR submitted 2023-02-23 math.QA math.AGmath.RT

Markus Reineke This is my paper
classification math.QAmath.AGmath.RT
keywords dilogarithmmotivicquantumwildanaloguesderivediscussdonaldson-thomas
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We exhibit and discuss "wild" analogues of the five-term quantum dilogarithm identity. We derive these from the representation theory of quivers, using motivic wall-crossing, the geometricity of motivic Donaldson-Thomas invariants, and special properties of Kronecker moduli

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Cited by 1 Pith paper

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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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