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SUMMARY:Homotopy of codimension one foliations on 3-manifolds - Helene Eyn
 ard\, Jussieu
DTSTART:20120523T150000Z
DTEND:20120523T160000Z
UID:TALK36665@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:We are interested in the topology of the space of smooth\ncodi
 mension one foliations on a given closed 3-manifold.\n\nIn 1969\, J. Wood 
 proved that any smooth plane field on a closed 3-manifold can be deformed 
 into a plane field tangent to a foliation. This fundamental result was the
 n reproved and generalized by W. Thurston. It is natural then to wonder wh
 ether two foliations whose tangent plane fields are homotopic can be conne
 cted by a path of foliations\, or\, in other words\, if there is actually 
 a bijection between the (pathwise)\nconnected components of the space of f
 oliations on a given manifold and that of the space of plane fields.\n\nIn
  this talk\, we will show that the answer is essentially yes. To that end\
 , we will first present Thurston's construction\, along with later works b
 y A. Larcanché\, who answered the above question in the case of two suffi
 ciently close taut foliations.\n
LOCATION:MR13
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