Cohomology and Hodge Theory on Symplectic Manifolds: I

Details Cohomology and Hodge Theory on Symplectic Manifolds: I Cohomology and Hodge Theory on Symplectic Manifolds: I

2009-09-29

arxiv.org/abs/0909.5418v1

Mathematics

Symplectic Geometry

45 pages

Scientific paper

We introduce new finite-dimensional cohomologies on symplectic manifolds. Each exhibits Lefschetz decomposition and contains a unique harmonic representative within each class. Associated with each cohomology is a primitive cohomology defined purely on the space of primitive forms. We identify the dual currents of lagrangians and more generally coisotropic submanifolds with elements of a primitive cohomology, which dualizes to a homology on coisotropic chains.

Affiliated with

Also associated with

No associations

Rating

Cohomology and Hodge Theory on Symplectic Manifolds: I 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 Cohomology and Hodge Theory on Symplectic Manifolds: I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology and Hodge Theory on Symplectic Manifolds: I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665186