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The Weil-Petersson Isometry Group
| Content Provider | Semantic Scholar |
|---|---|
| Author | Masur, Howard A. Wolf, Michael C. |
| Copyright Year | 2008 |
| Abstract | Let F = Fg,n be a surface of genus g with n punctures. We assume 3g−3+n > 1 and that (g, n) 6= (1, 2). Denote by M the set of all smooth Riemannian metrics on F . Choose an orientation for F , and define the set of all similarly oriented hyperbolic structures on F by M−1: here M−1 naturally includes in M. By the uniformization theorem, M−1 can be identified with the set of all conformal structures on F , with the given orientation. Equivalently, this is the same as the set of all complex structures or Riemann surface structures on F with the given orientation. The group of orientation preserving diffeomorphisms Diff(F ) acts on M−1 by pull-back. Let Diff0(F ) the subgroup of diffeomorphisms isotopic to the identity. The Teichmuller space Tg,n is defined to be |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0008065v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
