Dissertation/Thesis Abstract

Density properties of Euler characteristic -2 surface group, PSL(2, R) character varieties
by Delgado, Robert, Ph.D., University of Maryland, College Park, 2009, 100; 3359372
Abstract (Summary)

In 1981, Dr. William Goldman proved that surface group representations into [special characters omitted](2,[special characters omitted]) admit hyperbolic structures if and only if their Euler class is maximal in the Milnor-Wood interval. Furthermore the mapping class group of the prescribed surface acts properly discontinuously on its set of extremal representations into [special characters omitted](2,[special characters omitted]). However, little is known about either the geometry of, or the mapping class group action on, the other connected components of the space of surface group representations into [special characters omitted](2,[special characters omitted]). This article is devoted to establishing a few results regarding this.

Indexing (document details)
Advisor: Goldman, William M.
Commitee: Gates, James S., Ramachandran, Niranjan, Rosenberg, Jonathan M., Schafer, James A.
School: University of Maryland, College Park
Department: Mathematics
School Location: United States -- Maryland
Source: DAI-B 70/06, Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics
Keywords: Hyperbolic geometry, Moduli spaces, Representations, Surface groups
Publication Number: 3359372
ISBN: 9781109201598
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