On the group of lagrangian bisections of a symplectic groupoid
Volume 54 / 2001
Banach Center Publications 54 (2001), 235-247
MSC: Primary 22E65, 53D05.
DOI: 10.4064/bc54-0-13
Abstract
The group of lagrangian bisections of a symplectic groupoid extends the concept of the symplectomorphism group. The flux homomorphism is a basic invariant of this group. It is shown that this group is a regular Lie group. The group of exact (hamiltonian) bisections is also studied. The existence of the flux homomorphism enables a characterization of exact isotopies.
