The Growth Rate of Symplectic Homology and Affine Varieties

We will show that the cotangent bundle of a manifold whose free loopspace homology grows exponentially is not symplectomorphic to any smooth affine variety. We will also show that the unit cotangent bundle of such a manifold is not Stein fillable by a Stein domain whose completion is symplectomorphi...

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Bibliographic Details
Main Author: McLean, Mark Robert Leonard
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: SP Birkhäuser Verlag Basel 2017
Online Access:http://hdl.handle.net/1721.1/106919