Khovanov homology and the slice genus |
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Authors: | Jacob Rasmussen |
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Institution: | (1) City University of New York Brooklyn College, Bedford Avenue 2900, 11210-2889 Brooklyn, New York, USA |
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Abstract: | We use Lee’s work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the smooth slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture. |
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