On the existence of high index topologically minimal surfaces

DOI10.4310/MRL.2010.v17.n3.a1zbMath1257.57026arXiv0909.2693OpenAlexW2962881056MaRDI QIDQ2275702

David Bachman, Jesse Edward Johnson

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2693

Mathematics Subject Classification ID

Related Items (11)

CRITICAL HEEGAARD SURFACES OBTAINED BY SELF-AMALGAMATION ⋮ On the connectedness of subcomplexes of a disk complex ⋮ Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds ⋮ On unstabilized genus three critical Heegaard surfaces ⋮ Topologically minimal surfaces versus self-amalgamated Heegaard surfaces ⋮ Critical bridge spheres for links with arbitrarily many bridges ⋮ A topologically minimal canonical Heegaard splitting of a surface bundle is critical ⋮ Topological index theory for surfaces in 3-manifolds ⋮ Hyperbolic manifolds containing high topological index surfaces ⋮ The disk complex and topologically minimal surfaces in the 3-sphere ⋮ On topologically minimal surfaces of high genus

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