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Adjoint Reidemeister torsions of once-punctured torus bundles

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arxiv 2109.07058 v3 pith:ZKPIMZIR submitted 2021-09-15 math.GT

Anh T. Tran , Yoshikazu Yamaguchi This is my paper · ORCID
classification math.GT
keywords torusbundleshyperbolicidentityonce-puncturedvanishingadjointconjecture
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Gang, Kim and Yoon have recently proposed a conjecture on a vanishing identity of adjoint Reidemeister torsions of hyperbolic 3-manifolds with torus boundary, from the viewpoint of wrapped M5-branes. In this paper, we provide infinitely many new supporting examples to this conjecture. These examples come from hyperbolic once-punctured torus bundles. We show that the vanishing identity holds for all hyperbolic once-punctured torus bundles with tunnel number one. We also show the vanishing identity does not hold for any torus knot exteriors.

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

    math.GT 2026-02 conditional novelty 7.0 of 10

    Adjoint Reidemeister torsion is defined for semisimple algebraic groups on 3-manifolds with torus boundary, and for hyperbolic manifolds it factors through principal PGL2 embeddings into products of known PGL2 torsions.

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