Large volume fibered knots in 3-manifolds

2023/08/31 by Oakley, J. Robert
#57K10 #57K20 #57K32 #57M12 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2308.16756

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.

Related

• Large volume fibred knots of fixed genus
• Volumes of fibered 2-fold branched covers of 3-manifolds
• Volume and topology of bounded and closed hyperbolic 3-manifolds
• Genus 2 closed hyperbolic 3-manifolds of arbitrarily large volume
• Spacious knots