Topics in Random Knots and R-Matrices from Frobenius Algebras
In this dissertation, we study two areas of interest in knot theory: Random knots in the unit cube, and the Yang-Baxter solutions constructed from Frobenius algebras. The study of random knots can be thought of as a model of DNA strings situated in confinement. A random knot with n vertices is a pol...
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| Format: | Others |
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Scholar Commons
2010
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| Online Access: | http://scholarcommons.usf.edu/etd/3512 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=4707&context=etd |