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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Stars at infinity in Teichmuller space
by
Moon Duchin
UC Davis
Coauthors: Joseph Maher

Given a metric space with a boundary at infinity, the "stars at infinity" are subsets of the boundary determined by the intersection patterns of metric halfspaces. Anders Karlsson defined stars and used them to study the dynamics of actions by isometries. Pursuing a conjecture of Karlsson's, I will discuss the stars in the Thurston boundary of Teichmuller space and use them to give a description of the curve complex straight from the Teichmuller metric. This project connects combinatorial, topological, and geometric data about surfaces.

Date received: February 27, 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 # cawk-94.