University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Knot Floer homologies

Knot Floer homologies

Add to your list(s) Download to your calendar using vCal

  • UserAndras Stipsicz, Budapest
  • ClockWednesday 28 May 2014, 16:00-17:00
  • HouseMR13.

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 3-manifold, a knot in it), discovered by Ozsvath-Szabo and Rasmussen. Recently, in collaboration with P. Ozsvath and Z. Szabo, we have found a 1-parameter ‘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 4-ball 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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity