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Normal Families and Monodromies of Holomorphic Motions
by Beck, Michael, Ph.D., City University of New York, 2012, 67; 3508642
Abstract (Summary)
We explore some generalizations of results in holomorphic motions that result from Earle's infinite-dimensional generalization of Montel's Theorem. We then investigate topological obstructions to extending holomorphic motions. We finish with some miscellaneous facts.
| Advisor: | Jiang, Yunping, Mitra, Sudeb |
| Commitee: | Dodziuk, Josef, Wang, Zhe |
| School: | City University of New York |
| Department: | Mathematics |
| School Location: | United States -- New York |
| Source: | DAI-B 73/09(E), Dissertation Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Applied Mathematics, Mathematics |
| Keywords: | Holomorphic motions, Monodromy, Normal families, Quasiconformal motions, Teichmuller theory |
| Publication Number: | 3508642 |
| ISBN: | 978-1-267-34441-0 |
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