Relative Flux Homomorphism in Symplectic Geometry
Symplectic Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0309289,
title = {Relative Flux Homomorphism in Symplectic Geometry},
author = {Yildiray Ozan},
journal= {arXiv preprint arXiv:math/0309289},
year = {2007}
}
Comments
9 pages, corrected typos