Gauge equivalence of Dirac structures and symplectic groupoids

Details Gauge equivalence of Dirac structures and symplectic groupoids Gauge equivalence of Dirac structures and symplectic groupoids

2002-02-12

arxiv.org/abs/math/0202099v3

Mathematics

Symplectic Geometry

22 pages. Corrections made in Section 6.1, typos fixed and one reference added. To appear in Ann. Inst. Fourier

Scientific paper

We study gauge transformations of Dirac structures and the relationship between gauge and Morita equivalences of Poisson manifolds. We describe how the symplectic structure of a symplectic groupoid is affected by a gauge transformation of the Poisson structure on its identity section, and prove that gauge-equivalent integrable Poisson structures are Morita equivalent. As an example, we study certain generic sets of Poisson structures on Riemann surfaces: we find complete gauge-equivalence invariants for such structures which, on the 2-sphere, yield a complete invariant of Morita equivalence.

Affiliated with

Also associated with

No associations

Rating

Gauge equivalence of Dirac structures and symplectic groupoids 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 Gauge equivalence of Dirac structures and symplectic groupoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge equivalence of Dirac structures and symplectic groupoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621044