Quantum Dilogarithms and Partition q-Series

Akishi Kato, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume338
Issue number1
DOIs
Publication statusPublished - 2015 Aug 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Quantum Dilogarithms and Partition q-Series'. Together they form a unique fingerprint.

Cite this