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