Date of Award
9-2011
Document Type
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.
Recommended Citation
McGibbon, Jason Frederick, "Knot Contact Homology and Open Strings" (2011). Open Access Dissertations. Paper 484.
http://scholarworks.umass.edu/open_access_dissertations/484