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.
University of Cambridge