Dissertation/Thesis Abstract

Asymptoticity of grafting and Teichmüller rays
by Gupta, Subhojoy, Ph.D., Yale University, 2012, 95; 3525255
Abstract (Summary)

We show that any grafting ray in Teichmüller space determined by an arational lamination or a multi-curve is (strongly) asymptotic to a Teichmüller geodesic ray. As a consequence the projection of a generic grafting ray to moduli space is dense. We also show that the set of points in Teichmüller space obtained by integer (2π-) graftings on any hyperbolic surface projects to a dense set, which implies that complex projective surfaces with any fixed Fuchsian holonomy are dense in moduli space.

Indexing (document details)
Advisor: Minksy, Yair
School: Yale University
School Location: United States -- Connecticut
Source: DAI-B 73/12(E), Dissertation Abstracts International
Subjects: Mathematics, Theoretical Mathematics
Keywords: Asymptoticity, Grafting rays, Teichmueller theory
Publication Number: 3525255
ISBN: 978-1-267-57551-7
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