The disk complex and topologically minimal surfaces in the 3-sphere

DOI10.1142/S0218216520500923zbMath1460.57018arXiv1912.03329OpenAlexW3117266856MaRDI QIDQ4965608

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Publication date: 6 March 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03329

zbMATH Keywords

3-spheredisk complexHeegaard surfacestopologically minimal surfaces

Mathematics Subject Classification ID

General topology of 3-manifolds (57K30)

Related Items (1)

Critical bridge spheres for links with arbitrarily many bridges

Cites Work

• Bridge spheres for the unknot are topologically minimal
• Hyperbolic manifolds containing high topological index surfaces
• Topological index theory for surfaces in 3-manifolds
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Complexes of curves and Teichmüller spaces
• On the existence of high index topologically minimal surfaces
• Characterization and topological rigidity of Nöbeling manifolds
• Functions on surfaces and constructions of manifolds in dimensions three, four and five
• On topologically minimal surfaces of high genus
• Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface

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