Relative Flux Homomorphism in Symplectic Geometry

Details Relative Flux Homomorphism in Symplectic Geometry Relative Flux Homomorphism in Symplectic Geometry

2003-09-17

arxiv.org/abs/math/0309289v2

Mathematics

Symplectic Geometry

9 pages, corrected typos

Scientific paper

In this work we define a relative version of the flux homomorphism,
introduced by Calabi in 1969, for a symplectic manifold. We use it to study
(the universal cover of) the group of symplectomorphisms of a symplectic
manifold leaving a Lagrangian submanifold invariant. We show that some
quotients of this group are stable under symplectic reduction.

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