Large volume fibered knots in 3-manifolds

Algebraic & Geometric Topology 2026 Open access

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Authors: J. Robert Oakley
DOI: 10.2140/agt.2026.26.955
Cited by: 0

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.

Fields of Study & Subjects

Geometric and Algebraic Topology Mathematical Dynamics and Fractals Geometric Analysis and Curvature Flows

Publication details

Journal / source
Algebraic & Geometric Topology
Volume
26
Issue
3
Pages
955–971
Publication date
1 April 2026
Language
EN