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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the set of L-space surgeries for links - Evgeny
Gorsky (University of California\, Davis)
DTSTART;TZID=Europe/London:20170323T151500
DTEND;TZID=Europe/London:20170323T161500
UID:TALK71693AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71693
DESCRIPTION:A 3-manifold is called an L-space if its Heegaard
Floer homology has minimal possible rank. A link
(or knot) is called an L-space link if all suffici
ently large surgeries of the three-sphere along it
s components are L-spaces. It is well known that t
he set of L-space surgeries for a nontrivial L-spa
ce knot is a half-line. Quite surprisingly\, even
for links with 2 components this set could have a
complicated structure. I will prove that for "most
" L-space links (in particular\, for most algebrai
c links) this set is bounded from below\, and show
some nontrivial examples where it is unbounded. T
his is a joint work with Andras Nemethi.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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