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dc.contributor.author |
Kashaev, R.M. |
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dc.contributor.author |
Nakanishi, T. |
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dc.date.accessioned |
2019-02-16T12:50:30Z |
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dc.date.available |
2019-02-16T12:50:30Z |
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dc.date.issued |
2011 |
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dc.identifier.citation |
Classical and Quantum Dilogarithm Identities / R.M. Kashaev, T. Nakanishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 65 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 13F60 |
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dc.identifier.other |
DOI: http://dx.doi.org/10.3842/SIGMA.2011.106 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/147994 |
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dc.description.abstract |
Using the quantum cluster algebra formalism of Fock and Goncharov, we present several forms of quantum dilogarithm identities associated with periodicities in quantum cluster algebras, namely, the tropical, universal, and local forms. We then demonstrate how classical dilogarithm identities naturally emerge from quantum dilogarithm identities in local form in the semiclassical limit by applying the saddle point method. |
uk_UA |
dc.description.sponsorship |
We thank Vladimir V. Bazhanov, Ludwig D. Faddeev, Kentaro Nagao, Boris Pioline, and Andrei Zelevinsky for very useful discussions and comments. We especially thank Alexander Yu. Volkov for making his result in [62] available to us prior to the publication. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Classical and Quantum Dilogarithm Identities |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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