A field theory for symplectic fibrations over surfaces

Details A field theory for symplectic fibrations over surfaces A field theory for symplectic fibrations over surfaces

2003-09-19

arxiv.org/abs/math/0309335v4

Geom. Topol. 8(2004) 1189-1226

Mathematics

Symplectic Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper32.abs.html

Scientific paper

We introduce in this paper a field theory on symplectic manifolds that are fibered over a real surface with interior marked points and cylindrical ends. We assign to each such object a morphism between certain tensor products of quantum and Floer homologies that are canonically attached to the fibration. We prove a composition theorem in the spirit of QFT, and show that this field theory applies naturally to the problem of minimising geodesics in Hofer's geometry. This work can be considered as a natural framework that incorporates both the Piunikhin-Salamon-Schwarz morphisms and the Seidel isomorphism.

Affiliated with

Also associated with

No associations

Rating

A field theory for symplectic fibrations over surfaces 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 A field theory for symplectic fibrations over surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A field theory for symplectic fibrations over surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276178