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SUMMARY:Taut depth one foliations and the sutured Floer polytope - Irida A
 ltman (Warwick)
DTSTART:20120214T150000Z
DTEND:20120214T160000Z
UID:TALK35236@talks.cam.ac.uk
CONTACT:Dr Andras Juhasz
DESCRIPTION:Given a 3-manifold\, it is well-known that certain faces of th
 e unit Thurston norm ball correspond to fibrations of the 3-manifold over 
 the circle. Fibrations are just depth 0 foliations\, so one could ask if t
 here is an analogous result for depth one foliations. Starting from the wo
 rk of Gabai and Juhász\, I will show that certain\nextremal vertices of t
 he sutured Floer polytope of a sutured manifold (M\,g) correspond to taut\
 , depth one foliations of (M\,g) (up to an equivalence relation).  These e
 xtremal vertices are dual to 'faces' of the foliation cone of (M\,g) as de
 fined by Cantwell and\nConlon.  This is work in progress.
LOCATION:MR15
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