Hyperbolic manifolds containing high topological index surfaces

DOI10.2140/pjm.2018.296.305zbMath1406.57014arXiv1706.00462OpenAlexW3104224254WikidataQ129487959 ScholiaQ129487959MaRDI QIDQ723576

Matt Rathbun, Marion Campisi

Publication date: 24 July 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00462

zbMATH Keywords

graphdistancehyperbolictopological indexbridge distancebridge position

Mathematics Subject Classification ID

Related Items (2)

Critical bridge spheres for links with arbitrarily many bridges ⋮ The disk complex and topologically minimal surfaces in the 3-sphere

Cites Work

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• Bridge index for theta curves in the 3-sphere
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• The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
• Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds
• On the existence of high index topologically minimal surfaces
• Big Heegaard distance implies finite mapping class group
• Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions
• On topologically minimal surfaces of high genus

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