2 citations · 3 across the 10 of their papers we have counts for
11 papers
Rotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebras
Yuma Mizuno
Let be a simply connected semisimple algebraic group. On the (undecorated) braid variety associated with a power of a Coxeter element, there is a finite-order autoequivalence,…
The three Kanade-Russell identities modulo nine
Yuma Mizuno
We prove the three symmetric Kanade-Russell identities modulo nine.
Mutation Sequences along Weaves and Amalgamation of Braid Varieties
Yuma Mizuno
Let be positive braids with Demazure products . The endpoint stratum of the double Bott-Samelson cell splits as $\mathrm{Conf}(u,v) \times X(p…
Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups
Tsukasa Ishibashi, Yuma Mizuno
Let be a compact oriented -manifold with boundary consisting of tori, and let be a semisimple algebraic group. We define the adjoint torsion function on the moduli stack…
Remarks on Nahm sums for symmetrizable matrices
Yuma Mizuno
Nahm sums are specific -hypergeometric series associated with symmetric positive definite matrices. In this paper we study Nahm sums associated with symmetrizable matrices. We s…
Periodic -Systems and Nahm Sums: The Rank 2 Case
Yuma Mizuno
We classify periodic -systems of rank 2 satisfying the symplectic property. We find that there are six such -systems. In all cases, the periodicity follows from the existence…
-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…
Difference equations arising from cluster algebras
Yuma Mizuno
We characterize Y/T-system type difference equations arising from cluster algebras by triples of matrices, which we call T-data, that have a certain symplectic property. We show th…
Exponents Associated with -Systems and their Relationship with -Series
Yuma Mizuno
Let be a finite type Dynkin diagram, and be a positive integer greater than or equal to two. The -system of type with level is a system of algebraic re…
Jacobian matrices of Y-seed mutations
Yuma Mizuno
For any quiver mutation sequence, we define a pair of matrices that describe a fixed point equation of a cluster transformation determined from the mutation sequence. We give an ex…
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…