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math.RT2026
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,…
math.NT2026
The three Kanade-Russell identities modulo nine
Yuma Mizuno
We prove the three symmetric Kanade-Russell identities modulo nine.
math.AG2026
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…
math.GT2026
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…