The symplectic topology of Stein manifolds
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Authors
McLean, Mark Robert Leonard
Date
2008-10-14Awarding Institution
University of Cambridge
Author Affiliation
Department of Pure Mathematics and Mathematical Statistics
Qualification
Doctor of Philosophy (PhD)
Type
Thesis
Metadata
Show full item recordCitation
McLean, M. R. L. (2008). The symplectic topology of Stein manifolds (Doctoral thesis). https://doi.org/10.17863/CAM.11670
Description
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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.