There is an essentially "tinker-toy" model of a trivial bundle over the classical Teichmüller space of a punctured surface, called the decorated Teichmüller space, where the fiber over a point is the space of all tuples of horocycles, one about each puncture. This model leads to…
A Primer on Mapping Class Groups (PMS-49)
by Farb, Benson, Margalit, Dan
fromPrinceton mathematical series
A primer on mapping class groups
by Farb, Benson, Margalit, Dan
fromPrinceton mathematical series
"The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while…