Topology Atlas | Conferences


Knots in Washington XLVII
January 20-21, 2019
George Washington University
Washington, DC, United States

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


Links with Topologically Minimal Bridge Spheres
by
Puttipong Pongtanapaisan
University of Iowa
Coauthors: Daniel Rodman

David Bachman introduced the notion of a topologically minimal surface as a generalization of a strongly irreducible surface. These surfaces are useful and have been utilized by Bachman to solve Gordon's Conjecture and the Stabilization Conjecture. It is a conjecture that topologically minimal surfaces have all of the same properties as geometrically minimal surfaces. Many Heegaard surfaces have been verified to be topologically minimal, but less is known about topologically minimal bridge surfaces. In this talk, I will discuss joint work in progress with Daniel Rodman finding topologically minimal bridge spheres in link complements.

Date received: December 11, 2018


Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-26.