Mathematics > Symplectic Geometry
[Submitted on 11 Jun 2009 (v1), last revised 31 Oct 2012 (this version, v2)]
Title:Exotic symplectic manifolds from Lefschetz fibrations
View PDFAbstract:In this paper we construct, in all odd complex dimensions, pairs of Liouville domains W_0 and W_1 which are diffeomorphic to the cotangent bundle of the sphere with one extra subcritical handle, but are not symplectomorphic. While W_0 is symplectically very similar to the cotangent bundle itself, W_1 is more unusual. We use Seidel's exact triangles for Floer cohomology to show that the wrapped Fukaya category of W_1 is trivial. As a corollary we obtain that W_1 contains no compact exact Lagrangian submanifolds.
Submission history
From: Maksim Maydanskiy [view email][v1] Thu, 11 Jun 2009 22:41:59 UTC (46 KB)
[v2] Wed, 31 Oct 2012 00:13:46 UTC (64 KB)
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