Combinatorial Tangle Floer homology

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• Vera Vertesi (Strasbourg)
• Wednesday 08 July 2015, 14:30-15:30
• CMS, MR12.

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Knot Floer homology is an invariant for knots and links defined by Ozsvath and Szabo and independently by Rasmussen. It has proven to be a powerful invariant e.g. in computing the genus of a knot, or determining whether a knot is fibered.

In this talk I define a generalisation of knot Floer homology for tangles. Tangle Floer homology is an invariant of tangles in D^{3, S}2xI or in S^{3. Tangle Floer homology satisfies a pairing theorem and its version in S}3 gives back a stabilisation of knot Floer homology. The talk will assume some interest, but little or no background in these topics.

This is a joint work with Ina Petkova.

This talk is part of the Special DPMMS Colloquium series.

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