Quantum Dilogarithms and Partition q-Series

Akishi Kato, Yuji Terashima

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In our previous work (Kato and Terashima, Commun Math Phys. arXiv:1403.6569, 2014), we introduced the partition q-series for mutation loop γ—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.

本文言語English
ページ(範囲)457-481
ページ数25
ジャーナルCommunications in Mathematical Physics
338
1
DOI
出版ステータスPublished - 2015 8 1
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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