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Fibrations, subsurface projections and veering triangulations

Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016

October 26, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Yair Minsky (Yale University)
Location: MSRI: Simons Auditorium
  • geometric group theory

  • Mapping Class Group

  • Veering Triangulation

  • Subsurface projections

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



Agol’s veering triangulation for 3-manifolds that fiber over the circle can be obtained very explicitly, via a construction of Gueritaud, from the stable and unstable foliations of the monodromy. We study the way in which these triangulations interact with the arc complexes of the surface and its subsurfaces. This allows us to examine the “profile” of subsurface projections associated to each fiber in a fibred face of the Thurston norm ball, finding explicit relations between these projections and the simplicial structure of the triangulations and obtaining some bounds that do not depend on the complexity of the fibers. Joint work with Sam Taylor

27136?type=thumb Minsky. Notes 1.79 MB application/pdf Download
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