Seminar

Tangle Floer homology

Symplectic geometry and topology

22 October 14:00 - 15:00

Vera Vertesi - University of Strasbourg

In this talk I give a TQFT-type description of knot Floer homology by generalising it to tangles. Tangle Floer homology is an invariant of tangles in $D^3$, $S^2\times I$ or $S^3$, which satisfies a pairing theorem and its version in $S^3$ gives back a stabilisation of knot Floer homology. This invariant is also an extension of knot Floer homology as the categorification of the Alexander polynomial: Tangle Floer homology is a lift of the $gl(1|1)$- Reshetikhin—Turaev invariant defining the Alexander polynomial. This is a joint work with Alexander P. Ellis and Ina Petkova.
Organizers
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge

Program
Contact

Tobias Ekholm

tobias.ekholm@math.uu.se

Other
information

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