The symplectic topology of Stein manifolds
McLean, Mark Robert Leonard
University of Cambridge
Department of Pure Mathematics and Mathematical Statistics
Doctor of Philosophy (PhD)
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McLean, M. R. L. (2008). The symplectic topology of Stein manifolds (Doctoral thesis). https://doi.org/10.17863/CAM.11670
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Exotic Stein manifolds are Stein manifolds diffeomorphic to JR2 k which cannot be embedded symplectically into the Stein manifold <r:,k. In this thesis we prove two results about exotic Stein manifolds. The first result shows us that in each complex dimension > 2, there exists an exotic Stein manifold which is not symplectomorphic to any finite type Stein manifold. The second result states that in each dimension > 3 there are infinitely many finite type exotic Stein manifolds which are pairwise distinct as symplectic manifolds.
This record's DOI: https://doi.org/10.17863/CAM.11670