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dc.contributor.advisorShing-Tung Yau.en_US
dc.contributor.authorIacovino, Vitoen_US
dc.contributor.otherMassachusetts Institute of Technology. Dept. of Mathematics.en_US
dc.date.accessioned2009-04-29T17:28:23Z
dc.date.available2009-04-29T17:28:23Z
dc.date.copyright2008en_US
dc.date.issued2008en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/45344
dc.descriptionThesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2008.en_US
dc.descriptionIncludes bibliographical references (p. 51).en_US
dc.description.abstractLet 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.en_US
dc.description.statementofresponsibilityby Vito Iacovino.en_US
dc.format.extent51 p.en_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsM.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.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectMathematics.en_US
dc.titleOpen strings in the cotangent bundle and Morse homotopyen_US
dc.typeThesisen_US
dc.description.degreePh.D.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.identifier.oclc316797010en_US


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