Location: Hill 525
Date & time: Tuesday, 12 December 2017 at 3:30PM - 4:30PM
Abstract: 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 laminations of the monodromy. We study the way in which these triangulations interact with the curve complexes of the surface and its subsurfaces. This allows us to examine the “profile” of subsurface projections associated to each fiber in a fibered face of the Thurston norm ball, obtaining some bounds that do not depend on the complexity of the fibers.
This is joint work with Yair Minsky.