Yair Minsky at Bonahon Conference скачать в хорошем качестве

Yair Minsky at Bonahon Conference

“Windows, cores and skinning maps” Thurston's skinning map played an important role in his original hyperbolization theorem. His Bounded Image Theorem, in the acylindrical case,gave control of the fixed-point problem on which the proof depends. We generalize this theorem to a relative version which holds for manifolds with cylinders, and along the way refine our understanding of how one constructs compact cores with uniform topological and geometric control in degenerating sequences of hyperbolic structures. This is joint work with J. Brock, K. Bromberg and R. Canary.