Topology of Lagrangian immersions and submanifolds

[摘要] 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.

[发布机构] Massachusetts Institute of Technology