Density properties of Euler characteristic -2 surface group, PSL(2,R) character varieties.

dc.contributor.advisor	Goldman, William M	en_US
dc.contributor.author	Delgado, Robert Anthony Earle	en_US
dc.contributor.department	Mathematics	en_US
dc.contributor.publisher	Digital Repository at the University of Maryland	en_US
dc.contributor.publisher	University of Maryland (College Park, Md.)	en_US
dc.date.accessioned	2009-07-02T05:30:36Z
dc.date.available	2009-07-02T05:30:36Z
dc.date.issued	2009	en_US
dc.description.abstract	In 1981, Dr. William Goldman proved that surface group representations into PSL(2,R) 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 PSL(2,R). 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 PSL(2,R). This article is devoted to establishing a few results regarding this.	en_US
dc.format.extent	576998 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1903/9099
dc.language.iso	en_US
dc.subject.pqcontrolled	Mathematics	en_US
dc.subject.pquncontrolled	Hyperbolic Geometry	en_US
dc.subject.pquncontrolled	Moduli Space	en_US
dc.subject.pquncontrolled	representation	en_US
dc.subject.pquncontrolled	Surface group	en_US
dc.title	Density properties of Euler characteristic -2 surface group, PSL(2,R) character varieties.	en_US
dc.type	Dissertation	en_US

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