Concordance maps in knot Floer homology

Andras Juhasz (University of Oxford)

Monday 26th October, 2015 16:00-17:00 Maths 522

Abstract

I am going to discuss the maps induced on knot Floer homology by decorated concordances. These preserve the Alexander and Maslov gradings, and are always non-vanishing as they induce a morphism of the spectral sequences to Z.

Using this, we define an invariant of slice disks, and obstruct the existence of invertible concordances.

This is joint work with Marco Marengon. 

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