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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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