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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.
| 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: | 9781267575517 |
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