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Relative flux homomorphism in symplectic geometry

Author: Yildiray Ozan
Journal: Proc. Amer. Math. Soc. 133 (2005), 1223-1230
MSC (2000): Primary 53D22, 53D12; Secondary 53D20
Published electronically: October 15, 2004
MathSciNet review: 2117225
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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 [Enhancements On Off] (What's this?)

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Additional Information

Yildiray Ozan
Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey

Keywords: Symplectic manifold, Lagrangian submanifold, symplectomorphism, flux homomorphism
Received by editor(s): October 18, 2003
Received by editor(s) in revised form: December 13, 2003
Published electronically: October 15, 2004
Communicated by: Jon G. Wolfson
Article copyright: © Copyright 2004 American Mathematical Society