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math-ph2020★ 2 cited
-Painlevé equations on cluster Poisson varieties via toric geometry
Yuma Mizuno
We provide a relation between the geometric framework for -Painlevé equations and cluster Poisson varieties by using toric models of rational surfaces associated with -Painle…
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…