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Lagrangian unknottedness of tori in certain symplectic 4-manifolds

Posted on:2004-06-10Degree:Ph.DType:Thesis
University:Stanford UniversityCandidate:Ivrii, AlexanderFull Text:PDF
GTID:2460390011473179Subject:Mathematics
Abstract/Summary:
In this thesis we prove that any two Lagrangian tori in R4 , S2 x S 2, T* T2 or CP2 are Lagrangian isotopic. The proof is based on the symplectic field theoretic techniques introduced by Eliashberg, Givental and Hofer, and on the theory of symplectic fibrations in the spirit of McDuff and Lalonde.
Keywords/Search Tags:Lagrangian, Symplectic
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