Lagrangian Non-Intersections

Details Lagrangian Non-Intersections Lagrangian Non-Intersections

2004-12-06

arxiv.org/abs/math/0412110v2

Mathematics

Symplectic Geometry

Scientific paper

In this paper we use Floer theory to study topological restrictions on Lagrangian embeddings in closed symplectic manifolds. One of the phenomena arising from our results is ``homological rigidity'' of Lagrangian submanifolds. Namely, in certain symplectic manifolds, conditions on low dimensional topological invariants of a Lagrangian (such as its first homology) completely determine its entire homology. We also develop methods for studying Hamiltonian displacement of Lagrangian submanifolds and its relations to the topology of Lagrangians. Finally we present some new results on Lagrangian intersections.

Affiliated with

Also associated with

No associations

Rating

Lagrangian Non-Intersections 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 Lagrangian Non-Intersections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lagrangian Non-Intersections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41102