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SUMMARY:Stabilization distance bounds from link Floer homology - Andras Ju
 hasz\, Oxford
DTSTART:20181128T160000Z
DTEND:20181128T170000Z
UID:TALK113965@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:We consider the set of connected surfaces in the 4-ball that b
 ound a fixed knot in the 3-sphere. \nWe define the stabilization distance 
 between two surfaces as the minimal g such that we can get from one \nto t
 he other using stabilizations and destabilizations through surfaces of gen
 us at most g. \nSimilarly\, we obtain the double point distance between tw
 o surfaces of the same genus \nby minimizing the maximal number of double 
 points appearing in a regular homotopy connecting them. \n\nTo many of the
  concordance invariants defined using Heegaard Floer homology\, \nwe const
 ruct an analogous invariant for a pair of surfaces. We show that \nthese g
 ive lower bounds on the stabilization distance and the double point distan
 ce. \nWe compute our invariants for some pairs of deform-spun slice disks 
 \nby proving a trace formula on the full infinity knot Floer complex\, \na
 nd by determining the action on knot Floer homology of an automorphism \no
 f the connected sum of a knot with itself that swaps the two summands.\nTh
 is is joint work with Ian Zemke. 
LOCATION:MR13
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