Adjoint Reidemeister torsions of once-punctured torus bundles

Anh T. Tran; Yoshikazu Yamaguchi

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arXiv · 2109.07058

Adjoint Reidemeister torsions of once-punctured torus bundles

Anh T. Tran·Yoshikazu Yamaguchi

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Abstract

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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BibTeX RIS

Anh T. Tran, Yoshikazu Yamaguchi. 2021-09-15. Adjoint Reidemeister torsions of once-punctured torus bundles. https://arxiv.org/abs/2109.07058

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