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math.SG2004★ 16 cited
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…
math.SG2004
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…