論文

査読有り
2015年8月

Quantum Dilogarithms and Partition q-Series

COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Akishi Kato
  • ,
  • Yuji Terashima

338
1
開始ページ
457
終了ページ
481
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s00220-015-2323-y
出版者・発行元
SPRINGER

In our previous work (Kato and Terashima, Commun Math Phys. arXiv:1403.6569, 2014), we introduced the partition q-series for mutation loop gamma-a loop in exchange quiver. In this paper, we show that for a certain class of mutation sequences, called reddening sequences, the graded version of partition q-series essentially coincides with the ordered product of quantum dilogarithm associated with each mutation; the partition q-series provides a state-sum description of combinatorial Donaldson-Thomas invariants introduced by Keller.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1007/s00220-015-2323-y
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000357578100014&DestApp=WOS_CPL

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