Quantum dilogarithm identities at root of unity

Ivan Chi Ho Ip; Masahito Yamazaki

doi:10.1093/imrn/rnv141

Quantum dilogarithm identities at root of unity

Ivan Chi Ho Ip^*, Masahito Yamazaki

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

6 Citations (Scopus)

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 noncompact quantum dilogarithm at b = 1.

Original language	English
Pages (from-to)	669-695
Number of pages	27
Journal	International Mathematics Research Notices
Volume	2016
Issue number	3
DOIs	https://doi.org/10.1093/imrn/rnv141
Publication status	Published - 2016
Externally published	Yes

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Publisher Copyright:
© The Author(s) 2015.

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10.1093/imrn/rnv141

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title = "Quantum dilogarithm identities at root of unity",

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 noncompact quantum dilogarithm at b = 1.",

author = "Ip, \{Ivan Chi Ho\} and Masahito Yamazaki",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2015.",

year = "2016",

doi = "10.1093/imrn/rnv141",

language = "English",

volume = "2016",

pages = "669--695",

journal = "International Mathematics Research Notices",

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T1 - Quantum dilogarithm identities at root of unity

AU - Ip, Ivan Chi Ho

AU - Yamazaki, Masahito

N1 - Publisher Copyright: © The Author(s) 2015.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000376396800002

UR - https://openalex.org/W1853387042

UR - https://www.scopus.com/pages/publications/84964897442

U2 - 10.1093/imrn/rnv141

DO - 10.1093/imrn/rnv141

M3 - Journal Article

SN - 1073-7928

VL - 2016

SP - 669

EP - 695

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 3

ER -

Quantum dilogarithm identities at root of unity

Abstract

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