Torus fibrations and localization of index I

Details Torus fibrations and localization of index I Torus fibrations and localization of index I

2008-04-21

arxiv.org/abs/0804.3258v7

J. Math. Sci. Univ. Tokyo 17 (2010), 1-26

Mathematics

Symplectic Geometry

23 pages. 2 figures. Errors corrected. The title changed. Corollary 6.12 and references added

Scientific paper

We define a local Riemann-Roch number for an open symplectic manifold when a complete integrable system without Bohr-Sommerfeld fiber is provided on its end. In particular when a structure of a singular Lagrangian fibration is given on a closed symplectic manifold, its Riemann-Roch number is described as the sum of the number of nonsingular Bohr-Sommerfeld fibers and a contribution of the singular fibers. A key step of the proof is formally explained as a version of Witten's deformation applied to a Hilbert bundle.

Affiliated with

Also associated with

No associations

Rating

Torus fibrations and localization of index 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 Torus fibrations and localization of index I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torus fibrations and localization of index I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36316