%0 Journal Article
%T Exotic symplectic manifolds from Lefschetz fibrations
%A Maksim Maydanskiy
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0906.2224v2