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G^3 = Geometric Group Theory on the Gulf Coast Conference
March 20-23, 2008

Pensacola Beach, Florida, USA

Organizers
Josh Barnard, Igor Belegradek, Igor Mineyev.

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Parametrizations of the Teichmuller Space of Surfaces with Boundary
by
Ren Guo
Rutgers University

The Teichmuller space of a surface with boundary is the space of all isotopy classes of hyperbolic metrics with totally geodesic boundary. Using the cosine law of a hyperbolc right-angled hexagon, F. Luo constructed a family of new coordinates of the Teichmuller space. Under each of the new coordinates, the Teichmuller space is an open convex polytope.

Paper reference: arXiv:math.GT/0612221

Date received: February 25, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawj-17.