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Valdivia, A. D. (2011). Sequences of Pseudo-Anosov Mapping Classes with Asymptotically Small Dilatation. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-5242
We construct sequences of pseudo-Anosov examples which we use to bound the minimal dilatation on arbitrary surfaces. We show that these bounds give the asymptotic behavior of the minimal dilatations for certain sequences. Further we show that the mapping classes for a given sequence from our construction can be realized as fibrations of a single 3-manifold.
dilatation, geometric topology, mapping class group, pseudo-Anosov
Date of Defense
September 14, 2011.
Submitted Note
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Bibliography Note
Includes bibliographical references.
Advisory Committee
Eriko Hironaka, Professor Directing Dissertation; Laura Reina, University Representative; Wolfgang Heil, Committee Member; Eric Klassen, Committee Member.
Publisher
Florida State University
Identifier
FSU_migr_etd-5242
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Valdivia, A. D. (2011). Sequences of Pseudo-Anosov Mapping Classes with Asymptotically Small Dilatation. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-5242
