Gaster_Jonah.pdf (1.57 MB)
Download fileThurston's Skinning Map and Curves on Surfaces
thesis
posted on 2014-10-28, 00:00 authored by Jonah B. GasterThe ‘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, DavidDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Culler, Marc Groves, Daniel Shalen, Peter Kent, RichardSubmitted date
2014-08Language
- en