%0 Journal Article %T Relative Flux Homomorphism in Symplectic Geometry %A Yildiray Ozan %J Mathematics %D 2003 %I arXiv %X 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. %U http://arxiv.org/abs/math/0309289v2