Exotic symplectic manifolds from Lefschetz fibrations
Symplectic Geometry
2012-11-01 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0906.2224,
title = {Exotic symplectic manifolds from Lefschetz fibrations},
author = {Maksim Maydanskiy},
journal= {arXiv preprint arXiv:0906.2224},
year = {2012}
}
Comments
31 pages, 6 figures. Substantially rewritten and updated