Date of Award

9-2011

Document Type

Open Access Dissertation

Degree Name

Doctor of Philosophy (PhD)

Degree Program

Mathematics

First Advisor

Michael G. Sullivan

Second Advisor

Weimin Chen

Third Advisor

Robert B. Kusner

Subject Categories

Mathematics | Statistics and Probability

Abstract

In this thesis, we give a topological interpretation of knot contact homology, by considering intersections of a particular class of chains of open strings with the knot itself. In doing so, we provide evidence toward a differential graded algebra structure on the algebra generated by chains of open strings.

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