Quiver mutation sequences and q-binomial identities

Akishi Kato, Yuma Mizuno, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, first we introduce a quantity called a partition function for a quiver mutation sequence. The partition function is a generating function whose weight is a q-binomial associated with each mutation. Then, we show that the partition function can be expressed as a ratio of products of quantum dilogarithms. This provides a systematic way of constructing various q-binomial multisum identities.

Original languageEnglish
Pages (from-to)7335-7358
Number of pages24
JournalInternational Mathematics Research Notices
Volume2018
Issue number23
DOIs
Publication statusPublished - 2018 Dec 4

ASJC Scopus subject areas

  • Mathematics(all)

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