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Thurston's Skinning Map and Curves on Surfaces

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thesis
posted on 28.10.2014, 00:00 authored by Jonah B. Gaster
The ‘deformation space' of a given geometric structure on a fixed smooth manifold is a major theme in low-dimensional geometry. In this thesis we present work on two problems that fit into such a framework for 2 and 3-dimensional hyperbolic manifolds. The first concerns the behavior of the ‘skinning map’ associated to the family of infinite-volume hyperbolic structures on the interior of a 3-manifold with boundary, and the second concerns counting ‘maximal complete 1-systems’ on a closed surface.

History

Advisor

Dumas, David

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Culler, Marc Groves, Daniel Shalen, Peter Kent, Richard

Submitted date

2014-08

Language

en

Issue date

28/10/2014

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