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# Matthew Hedden : On Floer homology and knots admitting lens space surgeries

J. Berge discovered a simple condition on a knot, K, in the three-sphere which ensures that Dehn surgery on K yields a lens space. It is an open conjecture, known as the Berge conjecture, that any knot on which one can perform surgery and obtain a lens space satisfies his condition. I will discuss a strategy, developed jointly with Ken Baker and Eli Grigsby by which the knot Floer homology invariants of Ozsvath, Szabo, and Rasmussen could be used to prove this conjecture.

**Category**: Geometry and Topology**Duration**: 01:34:44**Date**: April 7, 2008 at 4:25 PM**Views**: 173-
**Tags:**seminar, Geometry/topology Seminar

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