Large volume fibered knots in 3-manifolds
Geometric Topology
2026-04-08 v2
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
Cite
@article{arxiv.2308.16756,
title = {Large volume fibered knots in 3-manifolds},
author = {J. Robert Oakley},
journal= {arXiv preprint arXiv:2308.16756},
year = {2026}
}
Comments
22 pages, 7 figures. Added background section and incorporated referee comments. To appear in Algebraic & Geometric Topology