Independence of volume and genus 𝑔 bridge numbers

DOI10.1090/proc/13327zbMath1364.57009arXiv1512.03869OpenAlexW2963328408MaRDI QIDQ2957822

Alexander Zupan, Jessica S. Purcell

Publication date: 30 January 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03869

zbMATH Keywords

hyperbolic volumeHeegaard surfacebridge numberHeegaard genus

Mathematics Subject Classification ID

Related Items (1)

On the pathwidth of hyperbolic 3-manifolds

Cites Work

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• Bridge number and integral Dehn surgery
• Hyperbolic geometry of multiply twisted knots
• On multiply twisted knots that are Seifert fibered or toroidal
• Bridge distance and plat projections
• Distance and bridge position
• Bridge spectra of iterated torus knots
• Slope length and generalized augmented links
• A generalized bridge number for links in 3-manifolds
• Word hyperbolic Dehn surgery
• Bounds on exceptional Dehn filling
• Tunnel number, 1-bridge genus and h-genus of knots
• Volume bounds for generalized twisted torus links
• Multiple bridge surfaces restrict knot distance
• Links with no exceptional surgeries
• Dehn filling, volume, and the Jones polynomial
• Alternate Heegaard genus bounds distance
• Heegaard splittings and pseudo-Anosov maps
• A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston)
• Bridge Spectra of Twisted Torus Knots
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• An Equivariant Torus Theorem for Involutions
• Bridge and pants complexities of knots
• 3-manifolds as viewed from the curve complex

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