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20232026
most citedSolutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver

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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…