Let M be smooth symplectic closed manifold and L a
closed Lagrangian submanifold of M. It was shown by Ozan that
Ham(M,L): the relative Hamiltonian diffeomorphisms on M fixing the
Lagrangian submanifold L setwise is a subgroup which is equal to
the kernel of the restriction of the flux homomorphism to the
universal cover of the identity component of the relative
symplectomorphisms.
In this thesis we show that Ham(M,L) is a non-simple perfect
group, by adopting a technique due to Thurston, Herman, and
Banyaga. This technique requires the diffeomorphism group be
transitive where this property fails to exist in our case.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12609301/index.pdf |
| Date | 01 January 2008 |
| Creators | Demir, Ali Sait |
| Contributors | Ozan, Yildiray |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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