Home /  Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 2: Knot Floer homology"

Seminar

Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 2: Knot Floer homology" April 15, 2010
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Location: UC Berkeley, Sibley Auditorium, Bechtel Hall
Speaker(s) Peter Ozsváth
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Heegaard Floer homology can be used to define an invariant for knots in the three-sphere. This invariant, whose definition involves holomorphic curves, admits an elementary, combinatorial description in terms of grid diagrams. I will describe the construction, and sketch a combinatorial proof of its topological invariance. This lecture will cover joint work with Ciprian Manolescu, Sucharit Sarkar, Zoltán Szabó, and Dylan Thurston.

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