2026-09-19T09:05:59Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/453442022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Shing-Tung Yau.
Iacovino, Vito
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2009-04-29T17:28:23Z
2009-04-29T17:28:23Z
2008
2008
http://hdl.handle.net/1721.1/45344
316797010
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.
51 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Open strings in the cotangent bundle and Morse homotopy
Thesis
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