167 citations · 337 across the 25 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2016
Quiver mutation sequences and -binomial identities
Akishi Kato, Yuma Mizuno, Yuji Terashima
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 -binom…
math-ph2014★ 1 cited
Quantum dilogarithms and partition q-series
Akishi Kato, Yuji Terashima
In our previous work [arXiv:1403.6569], we introduced the partition q-series for mutation loop --- a loop in exchange quiver. In this paper, we show that for certain class of mutat…
math-ph2014★ 3 cited
Quiver mutation loops and partition q-series
Akishi Kato, Yuji Terashima
A quiver mutation loop is a sequence of mutations and vertex relabelings, along which a quiver transforms back to the original form. For a given mutation loop, we introduce a quant…