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SUMMARY:Knot invariants from Reeb orbits
DTSTART:20230921T130000
DTEND:20230921T150000
DTSTAMP:20260407T095547Z
UID:a3554c5cd8b576060b3377c51e804a281b642266eddd0cc52a434105
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ghiggini Paolo (Institut Fourier\, Grenoble)\nVincent Colin\, 
 Ko Honda\, Michael Hutchings and I defined embedded contact homology group
 s for knots in a three-manifold as a slight modification of Hutching's emb
 edded contact homology for closed three manifolds. I will sketch a strateg
 y to prove that those groups are isomorphic to Ozsváth\, Szabó and Rasmu
 ssen's knot Floer homology\, and therefore are topological invariants. The
  strategy is to extend the knot complement to a larger closed manifold\, a
 nd then apply the isomorphism between Heegaard Floer homology and embedded
  contact homology to the closed manifold. In the talk I will focus on the 
 effect of that extension on  embedded contact homology\, and therefore no
  knowledge of knot Floer homology will be necessary beyond the fact that i
 t exists and is interesting. On the other hand the definition of embedded 
 contact homology\, both for knots and closed three-manifolds\, will be ske
 tched. This is a joint work in progress with Vincent Colin and Ko Honda.\n
  
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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