Combinatorial Tangle Floer homology

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• Vera Vertesi (University of Strasbourg; CNRS (Centre national de la recherche scientifique))
• Friday 19 May 2017, 13:30-14:30
• Seminar Room 2, Newton Institute.

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Knot Floer homology is an invariant for knots and links defined by Ozsv\'ath and Szab\'o 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 gluing theorem and its version in S}3 gives back a stabilisation of knot Floer homology. Finally, I will discuss how to see tangle Floer homology as a categorification of the Reshetikhin-Turaev invariant for gl(1|1).

This is a joint work with I. Petkova and A. P. Ellis.

This talk is part of the Isaac Newton Institute Seminar Series series.

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