Type
Text
Type
Dissertation
Advisor
Sullivan, Dennis | Viro, Oleg Y | Phillips, Anthony | Rocek, Martin.
Date
2015-12-01
Keywords
Enumerative Geometry, Geometric Topology, Metric Geometry | Mathematics
Department
Department of Mathematics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76410
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
A generic smooth immersed closed curve in the 2-sphere has a finite number of circles tangent to it in three points. We present a classification of these tritangent circles and study how each class changes during deformations of the curve. We relate these classes to finite type invariants of the curve and derive a relation among the numbers of tritangent circles in the classes and finite type invariants of the curve. | 39 pages
Recommended Citation
Sobolev, Yury Arkady, "Tritangents to Spherical Curves" (2015). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2333.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2333