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Large volume fibered knots in 3-manifolds

J Robert Oakley
Algebraic & Geometric Topology 26 (2026) 955–971
DOI: 10.2140/agt.2026.26.955
Abstract

We prove that for hyperbolic fibered knots in any closed, connected, oriented 3-manifold the volume and genus are unrelated. As an application we answer a question of Hirose, Kalfagianni, and Kin about volumes of mapping tori that are double branched covers.

Keywords
branched covers, hyperbolic 3-manifolds, mapping class group, pseudo-Anosov, knot theory
Mathematical Subject Classification
Primary: 57K10, 57K20, 57K32, 57M12
References
Publication
Received: 13 November 2023
Revised: 29 October 2024
Accepted: 27 November 2024
Published: 1 April 2026
Authors
J Robert Oakley
Wachman Hall Mathematics Department
Temple University
Philadelphia, PA
United States
© 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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