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SUMMARY:A flexibility result in high-dimensional contact topology - Klaus 
 Niederkruger\, Toulouse
DTSTART:20130213T160000Z
DTEND:20130213T170000Z
UID:TALK41688@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Stein manifolds which admit a plurisubharmonic Morse function 
 with no top index critical points are known to be flexible (their symplect
 ic properties are essentially topological\, governed by an h-principle). R
 ecently\, Emmy Murphy has shown that a Legendrian submanifold becomes flex
 ible after an operation called stabilization\, and its behavior is again g
 overned \nby topology. The result I will be talking about shows that a loc
 al modification of the contact structure on the level set of a plurisubhar
 monic function renders all Legendrian submanifolds flexible. In particular
  this will allow us to take a symplectically non-\ntrivial Stein cobordism
 \, modify it locally to untangle all handle attachments\, and render it tr
 ivial.\n\nThe talk reports on joint work with  E. Murphy\, O.Plamenevskaya
 \, and A. Stipsicz.
LOCATION:MR13
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