Seminar

# Tangle Floer homology

#### 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

# ProgramContact

Tobias Ekholm

tobias.ekholm@math.uu.se

# Otherinformation

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