Wild quantum dilogarithm identities
Reineke, Markus1
1 Faculty of Mathematics, Ruhr-Universität Bochum Universitätsstraße 150 44780 Bochum Germany
Annals of Representation Theory, Volume 1 (2024) no. 3, pp. 385-391.

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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DOI: 10.5802/art.12
Classification: 16G20, 14D20, 14N35, 17B37
Keywords: quantum dilogarithm, quiver representation, quiver moduli, motivic Donaldson-Thomas invariants
Reineke, Markus 1

1 Faculty of Mathematics, Ruhr-Universität Bochum Universitätsstraße 150 44780 Bochum Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Reineke, Markus. Wild quantum dilogarithm identities. Annals of Representation Theory, Volume 1 (2024) no. 3, pp. 385-391. doi : 10.5802/art.12. https://art.centre-mersenne.org/articles/10.5802/art.12/

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