Variations on Prequantization

Details Variations on Prequantization Variations on Prequantization

2004-12-27

arxiv.org/abs/math/0412502v1

Travaux mathematiques, Fascicule XVI, pp. 187-219 (2005)

Mathematics

Symplectic Geometry

33 pages; contribution to the proceedings of the conference Poisson 2004

Scientific paper

We extend known prequantization procedures for Poisson and presymplectic manifolds by defining the prequantization of a Dirac manifold P as a principal U(1)-bundle Q with a compatible Dirac-Jacobi structure. We study the action of Poisson algebras of admissible functions on P on various spaces of locally (with respect to P) defined functions on Q, via hamiltonian vector fields. Finally, guided by examples arising in complex analysis and contact geometry, we propose an extension of the notion of prequantization in which the action of U(1) on Q is permitted to have some fixed points.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387920