Almost Lagrangian Obstruction

Details Almost Lagrangian Obstruction Almost Lagrangian Obstruction

2011-06-22

arxiv.org/abs/1106.4449v1

Mathematics

Symplectic Geometry

17 pages, to appear in Diff. Geom. Appl

Scientific paper

The aim of this paper is to describe the obstruction for an almost Lagrangian fibration to be Lagrangian, a problem which is central to the classification of Lagrangian fibrations and, more generally, to understanding the obstructions to carry out surgery of integrable systems, an idea introduced by Zung. It is shown that this obstruction (namely, the homomorphism of Dazord and Delzant) is related to the cup product in cohomology with local coefficients on the base space B of the fibration. The map is described explicitly and some examples are calculated, thus providing the first examples of non-trivial Lagrangian obstructions.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206727