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Knot polynomials and knot homologies

arXiv:math/0504045

Abstract

This is an expository paper discussing some parallels between the Khovanov and knot Floer homologies. We describe the formal similarities between the theories and give some examples which illustrate a somewhat mysterious correspondence between them.

19 pages. To appear in proceedings of the Fields Institute/McMaster Conference on Geometry and Topology of Manifolds