Geometry of the Hitchin Component.

Zhang, Tengren

Geometry of the Hitchin Component.

dc.contributor.author	Zhang, Tengren	en_US
dc.date.accessioned	2015-09-30T14:24:58Z
dc.date.available	NO_RESTRICTION	en_US
dc.date.available	2015-09-30T14:24:58Z
dc.date.issued	2015	en_US
dc.date.submitted	2015	en_US
dc.identifier.uri	https://hdl.handle.net/2027.42/113605
dc.description.abstract	We construct a parameterization of the PSL(n,R) Hitchin component that generalizes the Fenchel-Nielsen coordinates on Teichmuller space. Using this parameterization, we study the degeneration of certain geometric quantities, such as length functions and topological entropy, that are associated to the representations in the Hitchin component.	en_US
dc.language.iso	en_US	en_US
dc.subject	Hitchin component	en_US
dc.subject	geometric structures	en_US
dc.subject	cross ratio	en_US
dc.subject	triple ratio	en_US
dc.title	Geometry of the Hitchin Component.	en_US
dc.type	Thesis	en_US
dc.description.thesisdegreename	PhD	en_US
dc.description.thesisdegreediscipline	Mathematics	en_US
dc.description.thesisdegreegrantor	University of Michigan, Horace H. Rackham School of Graduate Studies	en_US
dc.contributor.committeemember	Canary, Richard D.	en_US
dc.contributor.committeemember	Borgers, Tilman M.	en_US
dc.contributor.committeemember	Spatzier, Ralf J.	en_US
dc.contributor.committeemember	Ji, Lizhen	en_US
dc.contributor.committeemember	Fomin, Sergey	en_US
dc.subject.hlbsecondlevel	Mathematics	en_US
dc.subject.hlbtoplevel	Science	en_US
dc.description.bitstreamurl	http://deepblue.lib.umich.edu/bitstream/2027.42/113605/1/tengren_1.pdf
dc.owningcollname	Dissertations and Theses (Ph.D. and Master's)

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