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Taut depth one foliations and the sutured Floer polytope

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  • UserIrida Altman (Warwick)
  • ClockTuesday 14 February 2012, 15:00-16:00
  • HouseMR15.

If you have a question about this talk, please contact Dr Andras Juhasz .

Given a 3-manifold, it is well-known that certain faces of the 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 there is an analogous result for depth one foliations. Starting from the work of Gabai and Juhász, I will show that certain extremal vertices of the sutured Floer polytope of a sutured manifold (M,g) correspond to taut, depth one foliations of (M,g) (up to an equivalence relation). These extremal vertices are dual to ‘faces’ of the foliation cone of (M,g) as defined by Cantwell and Conlon. This is work in progress.

This talk is part of the Topology Seminar series.

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