Yuma Mizuno

collaborators

3 papers

math.GT2026

Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups

Tsukasa Ishibashi, Yuma Mizuno

Let $M$ be a compact oriented $3$ -manifold with boundary consisting of tori, and let $G$ be a semisimple algebraic group. We define the adjoint torsion function on the moduli stack…

math.QA2025

Periodic $Y$ -Systems and Nahm Sums: The Rank 2 Case

Yuma Mizuno

We classify periodic $Y$ -systems of rank 2 satisfying the symplectic property. We find that there are six such $Y$ -systems. In all cases, the periodicity follows from the existence…

math.NT2025

Remarks on Nahm sums for symmetrizable matrices

Yuma Mizuno

Nahm sums are specific $q$ -hypergeometric series associated with symmetric positive definite matrices. In this paper we study Nahm sums associated with symmetrizable matrices. We s…

Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups

Periodic Y-Systems and Nahm Sums: The Rank 2 Case

Remarks on Nahm sums for symmetrizable matrices

Periodic $Y$ -Systems and Nahm Sums: The Rank 2 Case