Quantum Dilogarithms and Partition q-Series

Akishi Kato, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)457-481
Number of pages25
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - 2015 Aug 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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