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.
Identifer | oai:union.ndltd.org:uiowa.edu/oai:ir.uiowa.edu:etd-7095 |
Date | 01 May 2017 |
Creators | Rodman, Daniel |
Contributors | Tomova, Maggy |
Publisher | University of Iowa |
Source Sets | University of Iowa |
Language | English |
Detected Language | English |
Type | dissertation |
Format | application/pdf |
Source | Theses and Dissertations |
Rights | Copyright © 2017 Daniel Rodman |
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