Topology of Lagrangian immersions and submanifolds
Author(s)
Hilaire, Christian, S.M. Massachusetts Institute of Technology
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Other Contributors
Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.
Advisor
Katrin Wehrheim.
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In this thesis, we look at some of the first topological results for Lagrangian immersions and embeddings. In particular, we state and consider some applications of the h-principle of Gromov which gives a homotopy classification of Lagrangian immersions. We outline a proof of Matsushima's theorem which states that there is no Lagrangian embedding ... We define the notions of the Malsov class and of monotone Lagrangian immersions or embeddings and we give some examples.
Description
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010. Cataloged from PDF version of thesis. Includes bibliographical references (p. 53-55).
Date issued
2010Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer SciencePublisher
Massachusetts Institute of Technology
Keywords
Electrical Engineering and Computer Science.