Bridge spheres for the unknot are topologically minimal

Abstract

We show that an $(n+1)$-bridge sphere for the unknot is a topologically minimal surface of index at most $n$.

arXiv comment7 pages, 4 figures

References in corpus (2)

• Topological Index Theory for Surfaces in 3-Manifolds
• Non-minimal bridge positions of torus knots are stabilized

Cited by in corpus (1)

• An Infinite Family of Links with Critical Bridge Spheres