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Rasmussen Invariant, Slice-Bennequin Inequality, and Sliceness of Knots
by
Alexander Shumakovitch
Dartmouth College
We use recently introduced Rasmussen invariant to find knots that are topologically locally-flatly slice but not smoothly slice. We note that this invariant can be used to give a combinatorial proof of the Slice-Bennequin inequality. Finally, we compute the Rasmussen invariant for quasipositive knots and show that most of our examples of non-slice knots are not quasipositive and were to the best of our knowledge unknown before.
Date received: February 10, 2005
Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # capo-29.