Abstract:

we (try to) give a friendly guide for shearing between hyperbolic surfaces in as ``efficient" a manner as possible. On the way, we'll see Teichmueller spaces, Thurston's earthquake theorem, and a novel metric on Teichmueller space called the earthquake metric which has surprising connections to both the Thurston metric and the Weil-Petersson metric. This is work in collaboration with K. Ohshika, H. Pan and A. Papadopoulos.