Quiver mutation sequences and $q$-binomial identities
Mathematical Physics
2016-11-21 v1 High Energy Physics - Theory
Combinatorics
math.MP
Quantum Algebra
Abstract
In this paper, 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 -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 -binomial multisum identities.
Cite
@article{arxiv.1611.05969,
title = {Quiver mutation sequences and $q$-binomial identities},
author = {Akishi Kato and Yuma Mizuno and Yuji Terashima},
journal= {arXiv preprint arXiv:1611.05969},
year = {2016}
}
Comments
19 pages