Floer homology of cotangent bundles and the loop product

Details Floer homology of cotangent bundles and the loop product Floer homology of cotangent bundles and the loop product

2008-10-13

arxiv.org/abs/0810.1995v4

Mathematics

Symplectic Geometry

Fully revised version

Scientific paper

We prove that the pair-of-pants product on the Floer homology of the cotangent bundle of a compact manifold M corresponds to the Chas-Sullivan loop product on the singular homology of the loop space of M. We also prove related results concerning the Floer homological interpretation of the Pontrjagin product and of the Serre fibration. The techniques include a Fredholm theory for Cauchy-Riemann operators with jumping Lagrangian boundary conditions of conormal type, and a new cobordism argument replacing the standard gluing technique.

Affiliated with

Also associated with

No associations

Rating

Floer homology of cotangent bundles and the loop product 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 Floer homology of cotangent bundles and the loop product, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Floer homology of cotangent bundles and the loop product will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719831