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CATEGORIES:Junior Geometry Seminar
SUMMARY:Heegaard Floer and Embedded Contact homology\, an 
 introduction - Tom Brown (DPMMS)
DTSTART;TZID=Europe/London:20170519T150000
DTEND;TZID=Europe/London:20170519T160000
UID:TALK71744AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71744
DESCRIPTION:Heegaard Floer homology\, HF\, is a 3-manifold inv
 ariant defined combinatorially in terms of the Hee
 gaard diagram for the manifold.  There is also a v
 ersion for knots in 3-manifolds called HFK.  Embed
 ded contact homology\, ECH\, is a dynamic invarian
 t defined in terms of periodic orbits of the conta
 ct Reeb vector field\, and by controlling orbits n
 ear the knot a knot version\, ECK\, can be obtaine
 d in this setting as well.  Colin\, Ghiggini and H
 onda recently proved that the 3-manifold invariant
 s HF and ECH are isomorphic\, and it is conjecture
 d that HFK and ECK are isomorphic.  With the help 
 of pictures and examples\, I will talk about these
  two theories\, discuss their isomorphism and\, if
  time permits\, talk about my research concerning 
 a surgery formula in ECK analogous to a well-known
  formula on HFK.
LOCATION:MR13
CONTACT:
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