16 citations · 16 across the 4 of their papers we have counts for
4 papers
Variations on Prequantization
Alan Weinstein, Marco Zambon
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 compati…
Contact reduction and groupoid actions
Marco Zambon, Chenchang Zhu
We introduce a new method to perform reduction of contact manifolds that extends Willett's (math.SG/0104080) and Albert's results. To carry out our reduction procedure all we need…
Averaging of Legendrian submanifolds of contact manifolds
Marco Zambon
We give a procedure to ``average'' canonically -close Legendrian submanifolds of contact manifolds. As a corollary we obtain that, whenever a compact group action leaves a Leg…
Submanifold averaging in riemannian and symplecitc geometry
Marco Zambon
We give a construction to obtain canonically an ``isotropic average'' of given -close isotropic submanifolds of a symplectic manifold. To do so we use an improvement of Weinst…