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Knot contact homology and open strings

Jason F McGibbon, University of Massachusetts Amherst

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.

Subject Area

Applied Mathematics|Mathematics

Recommended Citation

McGibbon, Jason F, "Knot contact homology and open strings" (2011). Doctoral Dissertations Available from Proquest. AAI3482715.
https://scholarworks.umass.edu/dissertations/AAI3482715

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