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Factorization rules in quantum Teichmuller theory

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Title	Factorization rules in quantum Teichmuller theory
Author	Roger, Julien
Author email	jroger@usc.edu; jujuroger@yahoo.com
Degree	Doctor of Philosophy
Document type	Dissertation
Degree program	Mathematics
School	College of Letters, Arts and Sciences
Date defended/completed	2010-05-07
Date submitted	2010
Restricted until	Unrestricted
Date published	2010-08-05
Advisor (committee chair)	Bonahon, Francis
Advisor (committee member)	Honda, Ko Pilch, Krzysztof
Abstract	For a punctured surface, a point of its Teichmuller space determines a representation of its quantized Teichmuller space. We analyze the behavior of these representations as one goes to infinity in the Teichmuller space, or in the moduli space of the surface. The result we obtain is analogous to the factorization rule found in conformal field theory.
Keyword	hyperbolic geometry; quantum topology
Language	English
Part of collection	University of Southern California dissertations and theses
Publisher (of the original version)	University of Southern California
Place of publication (of the original version)	Los Angeles, California
Publisher (of the digital version)	University of Southern California. Libraries
Provenance	Electronically uploaded by the author
Type	texts
Legacy record ID	usctheses-m3284
Rights	Roger, Julien
Repository name	Libraries, University of Southern California
Repository address	Los Angeles, California
Repository email	http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/
Filename	etd-Roger-3937
Archival file	uscthesesreloadpub_Volume40/etd-Roger-3937.pdf

Title	Page 1
Full text	FACTORIZATION RULES IN QUANTUM TEICHMU¨ LLER THEORY by Julien Roger A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MATHEMATICS) August 2010 Copyright 2010 Julien Roger

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