The Khovanov Homology of Rational Tangles
The aim of this thesis is to describe the Khovanov homology of rational tangles. To this extent we describe rational tangles, followed by Khovanov homology, then combine the two at the end. In Chapter 1 we review the main points of the theory of rational tangles. In particular, we show that rational tangles are classified by a function known as the tangle fraction, which associates to each rational tangle a rational number. This classification theorem implies that each rational tangle can be...[Show more]
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