On Khovanov Homology
نویسنده
چکیده
This paper will start from basic knot theory to define the Jones polynomial, then define and explore Khovanov homology, with computations. Two main goals are to present a proposition about the knot mirror and to explore the Khovanov homology of some classes of knots. Elementary algebra will be the only necessary prerequisite for this paper, though familiarity with basic homology will be useful. ∗Advised by Joshua Sabloff and his horrible, horrible jokes.
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تاریخ انتشار 2005