Floer homology and stable Morse homology in symplectic geometry |
Posted on:1998-07-13 | Degree:Ph.D | Type:Thesis |
University:The University of Wisconsin - Madison | Candidate:Milinkovic, Darko | Full Text:PDF |
GTID:2460390014476246 | Subject:Mathematics |
Abstract/Summary: | |
First part of this thesis develops Morse theory for generating functions of Lagrangian submanifolds in a cotangent bundle of a compact smooth manifold. The second part establishes the equality between the symplectic invariants constructed through Morse homology of generating functions and the ones defined through Floer homology. As a by-product, it is proved that there exists a level preserving isomorphism between the Morse homology of generating functions and the Floer homology for any closed submanifold of the base. |
Keywords/Search Tags: | Floer homology, Morse homology, Generating functions |
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