Dear topologists and friends of topology,
Ahmad Issa (University of Texas at Austin) will give the topology
seminar at 3:30pm on Thursday.
Title:
Non-geometric veering triangulations
Abstract:
In 2010 Ian Agol introduced a class of "veering" ideal triangulations
for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured
along the singular points of the invariant foliations. These
triangulations have very special combinatorial properties, and Agol
asked if these are "geometric", i.e. realised in the complete
hyperbolic metric with all tetrahedra positively oriented. In this
talk I'll describe Agol's elegant construction of these triangulations
using train tracks on surfaces, and give the first examples of
non-geometric veering triangulations.