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arXiv · 1305.5395

Quantum dilogarithm identities and cyclic quivers

Changjian Fu·Liangang Peng
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Abstract

We study quantum dilogarithm identities for cyclic quivers following Reineke's idea via Ringel-Hall algebra approach. For any given discrete stability function for the cyclic quiver $Δ_n$ with $n$ vertices, we obtain certain cyclic quantum dilogarithm identities of order $n$ in the sense of Bytsko and Volkov.

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Changjian Fu, Liangang Peng. 2013-05-23. Quantum dilogarithm identities and cyclic quivers. https://arxiv.org/abs/1305.5395

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