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arXiv · 1412.5777

Quantum Dilogarithm Identities at Root of Unity

Ivan Chi-Ho Ip·Masahito Yamazaki
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Abstract

We study the root of unity degeneration of cluster algebras and quantum dilogarithm identities. We prove identities for the cyclic dilogarithm associated with a mutation sequence of a quiver, and as a consequence new identities for the non-compact quantum dilogarithm at $b=1$.

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Ivan Chi-Ho Ip, Masahito Yamazaki. 2014-12-18. Quantum Dilogarithm Identities at Root of Unity. https://doi.org/10.1093/imrn%2Frnv141

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