Topology of Lagrangian immersions and submanifolds
Name
703152602-MIT.pdf
Description
Full printable version
Size
2.37 MB
Format
Adobe PDF
Checksum (MD5)
a22f6b7e92bbb3908cfe3353da4aa194
Author(s)
Hilaire, Christian, S.M. Massachusetts Institute of Technology
Advisor(s)
Katrin Wehrheim.
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
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).
Subjects
Electrical Engineering and Computer Science.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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