Quantum Dilogarithm Identities at Root of Unity

Ivan Chi-Ho Ip UST Masahito Yamazaki University of Tokyo

Quantum Algebra mathscidoc:1909.43008

International Mathematics Research Notices, 2016, 2016
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 noncompact quantum dilogarithm at |$b=1$|⁠.Communicated by Michio Jimbo
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  title={Quantum Dilogarithm Identities at Root of Unity},
  author={Ivan Chi-Ho Ip, and Masahito Yamazaki},
  booktitle={International Mathematics Research Notices},
Ivan Chi-Ho Ip, and Masahito Yamazaki. Quantum Dilogarithm Identities at Root of Unity. 2016. Vol. 2016. In International Mathematics Research Notices. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190920161412412702498.
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