Relative flux homomorphism in symplectic geometry

Ozan, Yildiray

doi:10.1090/S0002-9939-04-07611-7

Relative flux homomorphism in symplectic geometry
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by Yildiray Ozan

Proc. Amer. Math. Soc. 133 (2005), 1223-1230

DOI: https://doi.org/10.1090/S0002-9939-04-07611-7

Published electronically: October 15, 2004

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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 also show that some quotients of the universal covering of the group of symplectomorphisms are stable under symplectic reduction.

References

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