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SUMMARY:Concordance maps in knot Floer homology - Marco Marengon\, Imperia
 l
DTSTART:20160525T150000Z
DTEND:20160525T160000Z
UID:TALK65041@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: Knot Floer homology (HFK) is a bi-graded vector space\, which
  is an invariant of a knot in S3. Given a (decorated) knot concordance bet
 ween two knots K and L (that is\, an embedded annulus in S3 x [0\,1] that 
 K and L co-bound)\, Juhász defined a map between their knot Floer homolog
 ies. We prove that this map preserves the bigrading of HFK and is always n
 on-zero. This has some interesting applications\, in particular the existe
 nce of a non-zero element in HFK(K) associated to each properly embedded d
 isc in B4 whose boundary is the knot K in S3. This is joint work with Andr
 ás Juhász.
LOCATION:MR13
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