Almost minimal laminations and the connectivity of ending lamination space

Thursday, October 2, 2008 -
4:30pm to 6:30pm
We show that if S is a finite type hyperbolic surface which is not the 3 or 4-holed sphere or 1-holed torus, then the Ending lamination space of S is connected, locally path connected and cyclic. Using Klarrich's theorem this implies that the boundary of a curve complex associated to any such space is connected, locally path connected and cyclic.
Speaker: 
David Gabai
Princeton University
Event Location: 
Fine Hall 314