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Adjoint Reidemeister torsions of some 3-manifolds obtained by Dehn surgeries

Part of: Low-dimensional topology PL-topology

Published online by Cambridge University Press:  22 April 2024

Naoko Wakijo
Naoko Wakijo*
Affiliation:
Department of Mathematics, School of Science, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, Japan
*
e-mail: wakijo.n.aa@m.titech.ac.jp
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Abstract

We determine the adjoint Reidemeister torsion of a $3$-manifold obtained by some Dehn surgery along K, where K is either the figure-eight knot or the $5_2$-knot. As in a vanishing conjecture (Benini et al. (2020, Journal of High Energy Physics 2020, 57), Gang et al. (2020, Journal of High Energy Physics 2020, 164), and Gang et al. (2021, Advances in Theoretical and Mathematical Physics 25, 1819–1845)), we consider a similar conjecture and show that the conjecture holds for the 3-manifold.

Keywords

Reidemeister torsion3-manifoldssurgery

MSC classification

Primary: 57Q10: Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.
Secondary: 57M05: Fundamental group, presentations, free differential calculus
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 15
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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