2015年8月
Quantum Dilogarithms and Partition q-Series
COMMUNICATIONS IN MATHEMATICAL PHYSICS
- ,
- 巻
- 338
- 号
- 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.
- リンク情報
- ID情報
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- DOI : 10.1007/s00220-015-2323-y
- ISSN : 0010-3616
- eISSN : 1432-0916
- Web of Science ID : WOS:000357578100014