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 language | English |
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Pages (from-to) | 7335-7358 |
Number of pages | 24 |
Journal | International Mathematics Research Notices |
Volume | 2018 |
Issue number | 23 |
DOIs | |
Publication status | Published - 2018 Dec 4 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)