UMD Theses and Dissertations

Permanent URI for this collectionhttp://hdl.handle.net/1903/3

New submissions to the thesis/dissertation collections are added automatically as they are received from the Graduate School. Currently, the Graduate School deposits all theses and dissertations from a given semester after the official graduation date. This means that there may be up to a 4 month delay in the appearance of a given thesis/dissertation in DRUM.

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Author: search.filters.author.Delgado, Robert Anthony EarleSubject: search.filters.subject.representation

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    Density properties of Euler characteristic -2 surface group, PSL(2,R) character varieties.
    (2009) Delgado, Robert Anthony Earle; Goldman, William M; Mathematics; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
    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.