Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2008. / Includes bibliographical references (p. 51). / Let M be a riemannian manifold of dimension 3. We study the genus zero open rigid J-holomorphic curves in T*M with boundaries mapped in perturbations of the zero section. The perturbations of the zero section is defined fixing a. set of functions on M. We consider the graphs of the differential of the functions rescaled by an [epsilon] >/= 0. For a generic choice of the functions, we prove that, for E small enough, there exists a one to one correspondence between the J holomorphic curves and the planar Morse graphs of the functions. / by Vito Iacovino. / Ph.D.
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/45344 |
| Date | January 2008 |
| Creators | Iacovino, Vito |
| Contributors | Shing-Tung Yau., Massachusetts Institute of Technology. Dept. of Mathematics., Massachusetts Institute of Technology. Dept. of Mathematics. |
| Publisher | Massachusetts Institute of Technology |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 51 p., application/pdf |
| Rights | M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission., http://dspace.mit.edu/handle/1721.1/7582 |
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