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Triangulating the convex core of quasifuchsian once-punctured torus groups

Geometry/Topology

Speaker: Francois Gueritaud, USC and ENS
Location: 1147 MSB
Start time: Tue, Apr 4 2006, 4:00PM

(This lecture is part of BATS) Let be a quasifuchsian group freely generated by two elements with parabolic commutator. The manifold has a convex core whose boundary, a union of two punctured tori, comes with two pleating laminations. These laminations define an infinite (topological) ideal triangulation of the interior of , which is canonical in a combinatorial sense. We turn into a true'' geometric triangulation via Rivin's maximum volume principle, and show that is also canonical in a different, purely geometric sense, a result first conjectured by Akiyoshi, Sakuma, Wada and Yamashita.