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SUMMARY:Knot Floer homologies - Andras Stipsicz\, Budapest
DTSTART:20140528T150000Z
DTEND:20140528T160000Z
UID:TALK51698@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Knot Floer homology is a refinements of Heegaard Floer homolog
 y\,\nproviding an invariant for a pair (a 3-manifold\, a knot in it)\,\ndi
 scovered by Ozsvath-Szabo and Rasmussen.\nRecently\, in collaboration with
  P. Ozsvath and Z. Szabo\, we have found\na 1-parameter 'deformation' of k
 not Floer homology for knots in S3\,\nleading to a family of concordance i
 nvariants. For the value t=1 the\ndeformation admits a further symmetry\, 
 providing a bound on the\nunoriented 4-ball genus (smooth crosscap number)
  of the knot at hand. In the lecture I plan to recall the basic constructi
 ons behind knot\nFloer homology\, list its basic properties\, and show how
  the\ndeformation works. Using grid diagrams we will discuss a sketch of t
 he\nproof of the genus bounds.
LOCATION:MR13
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