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Mathematics

Electronic Theses, Projects, and Dissertations

Theses/Dissertations

2016

Kauffman Bracket

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The Kauffman Bracket And Genus Of Alternating Links, Bryan M. Nguyen Jun 2016

The Kauffman Bracket And Genus Of Alternating Links, Bryan M. Nguyen

Electronic Theses, Projects, and Dissertations

Giving a knot, there are three rules to help us finding the Kauffman bracket polynomial. Choosing knot’s orientation, then applying the Seifert algorithm to find the Euler characteristic and genus of its surface. Finally finding the relationship of the Kauffman bracket polynomial and the genus of the alternating links is the main goal of this paper.