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The symplectic topology of Stein manifolds


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Type

Thesis

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Authors

McLean, Mark Robert Leonard 

Abstract

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.

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Qualification

Doctor of Philosophy (PhD)

Awarding Institution

University of Cambridge