Topology of Lagrangian immersions and submanifolds

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2010

Author dc:creator

• Hilaire, Christian, S.M. Massachusetts Institute of Technology

Advisor dc:contributor.advisor

• Katrin Wehrheim.

• Electrical Engineering and Computer Science.

Statement dc: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.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/61552

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/61552