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math-ph2026
Quantized six-vertex model at roots of unity: Frobenius property and free-parafermion spectra
Rei Inoue, Atsuo Kuniba, Yuji Terashima +1
We study the quantized six-vertex (Q6V) model on arbitrary admissible diagrams at , where is a primitive th root of unity with odd. For the comm…
math.GT2026
Integrality of genus- indices with adjoint Reidemeister torsions of twist knots
Ryoto Tange, Yuji Terashima, Yoshikazu Yamaguchi
We consider the sum of the adjoint Reidemeister torsions and prove the integrality for twist knots and the meridian. We also give some concrete examples of the generating functions…
math.GT2026
Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Yuji Terashima, Yoshikazu Yamaguchi
We study the conjecture that a sum of the (g-1)st powers of adjoint Reidemeister torsions for a torus knot is an integer. We prove that the conjecture is true for any torus knot an…