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.
|Advisor:||Goldman, William M.|
|Commitee:||Gates, James S., Ramachandran, Niranjan, Rosenberg, Jonathan M., Schafer, James A.|
|School:||University of Maryland, College Park|
|School Location:||United States -- Maryland|
|Source:||DAI-B 70/06, Dissertation Abstracts International|
|Keywords:||Hyperbolic geometry, Moduli spaces, Representations, Surface groups|
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