Knot Floer homologies
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 Andras Stipsicz, Budapest
 Wednesday 28 May 2014, 16:0017:00
 MR13.
If you have a question about this talk, please contact Ivan Smith.
Knot Floer homology is a refinements of Heegaard Floer homology,
providing an invariant for a pair (a 3manifold, a knot in it),
discovered by OzsvathSzabo and Rasmussen.
Recently, in collaboration with P. Ozsvath and Z. Szabo, we have found
a 1parameter ‘deformation’ of knot Floer homology for knots in S3,
leading to a family of concordance invariants. For the value t=1 the
deformation admits a further symmetry, providing a bound on the
unoriented 4ball genus (smooth crosscap number) of the knot at hand. In the lecture I plan to recall the basic constructions behind knot
Floer homology, list its basic properties, and show how the
deformation works. Using grid diagrams we will discuss a sketch of the
proof of the genus bounds.
This talk is part of the Differential Geometry and Topology Seminar series.
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