Large volume fibered knots in 3-manifolds
arXiv:2308.16756 · 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.
22 pages, 7 figures. Added background section and incorporated referee comments. To appear in Algebraic & Geometric Topology