Exotic symplectic manifolds from Lefschetz fibrations

Details Exotic symplectic manifolds from Lefschetz fibrations Exotic symplectic manifolds from Lefschetz fibrations

2009-06-11

arxiv.org/abs/0906.2224v1

Mathematics

Symplectic Geometry

18 pages, 6 figures

Scientific paper

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 W1 contains no compact exact Lagrangian submanifolds.

Affiliated with

Also associated with

No associations

Rating

Exotic symplectic manifolds from Lefschetz fibrations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exotic symplectic manifolds from Lefschetz fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exotic symplectic manifolds from Lefschetz fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134609