The symplectic topology of Stein manifolds

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.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2008

Author dc:creator

• McLean, Mark Robert Leonard

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/33a819e1-8877-4e5e-927a-3c781b979ecd/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

eng

DOI dc:identifier.doi

https://doi.org/10.17863/CAM.11670

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/265492