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X-WR-CALNAME:Michael Hutchings: \"The Weinstein conjecture for stable Ha
 miltonian structures\"
PRODID:-//Apple Computer\, Inc//iCal 2.0//EN
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METHOD:PUBLISH
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TZID:America/New_York
LAST-MODIFIED:20081008T195159Z
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DTSTART:20081102T060000
TZOFFSETTO:-0500
TZOFFSETFROM:+0000
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DTSTART:20090308T010000
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DURATION:PT1H
LOCATION:Math 520\, Columbia University
DTSTAMP:20081008T195116Z
UID:D162AC6F-8B32-48CF-B949-98976AD9A538
SEQUENCE:5
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=America/New_York:20081121T153000
SUMMARY:Michael Hutchings: \"The Weinstein conjecture for stable Hamilto
 nian structures\"
DESCRIPTION:Abstract: We use the equivalence between embedded contact ho
 mology and Seiberg-Witten Floer homology to obtain the following improve
 ments on the Weinstein conjecture. Let Y be a closed oriented connected 
 3-manifold with a stable Hamiltonian structure\, and let R denote the as
 sociated Reeb vector field on Y. We prove that if Y is not a T^2-bundle 
 over S^1\, then R has a closed orbit. Along the way we prove that if Y i
 s a closed oriented connected 3-manifold with a contact form such that a
 ll Reeb orbits are nondegenerate and elliptic\, then Y is a lens space. 
 Related arguments show that if Y is a closed oriented 3-manifold with a 
 contact form such that all Reeb orbits are nondegenerate\, and if Y is n
 ot a lens space\, then there exist at least three distinct embedded Reeb
  orbits. Joint work with Cliff Taubes.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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