Date of Degree
PhD (Doctor of Philosophy)
A closed, orientable, splitting surface in an oriented 3-manifold is a topologically minimal surface of index n if its associated disk complex is (n-2)-connected but not (n-1)-connected. A critical surface is a topologically minimal surface of index 2. In this thesis, we use an equivalent combinatorial definition of critical surfaces to construct the first known critical bridge spheres for nontrivial links.
Bridge sphere, Critical, Link, Plat position, Topologically minimal
vii, 52 pages
Includes bibliographical references (page 52).
Copyright © 2017 Daniel Rodman