Local Rigidity of Triangle Groups in Sp(4,R)

dc.contributor.advisor	Goldman, William	en_US
dc.contributor.author	Hoban, Ryan F.	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	2009-07-02T06:10:46Z
dc.date.available	2009-07-02T06:10:46Z
dc.date.issued	2009	en_US
dc.description.abstract	This paper studies configurations of Lagrangians in a four dimensional real symplectic vector space. We develop a generalized cross ratio as an invariant for quadruples of Lagrangians. This invariant is then used to study representations of triangle groups into the symplectic group. The main theorem is a local rigidity result for a certain representations factoring through the isometry group of the hyperbolic plane.	en_US
dc.format.extent	5512026 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1903/9280
dc.language.iso	en_US
dc.subject.pqcontrolled	Mathematics	en_US
dc.subject.pquncontrolled	Cross Ratio	en_US
dc.subject.pquncontrolled	Geometry	en_US
dc.subject.pquncontrolled	Lagrangians	en_US
dc.subject.pquncontrolled	Triangle Group	en_US
dc.title	Local Rigidity of Triangle Groups in Sp(4,R)	en_US
dc.type	Dissertation	en_US

Files

Now showing 1 - 1 of 1