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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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 | References | Similar Articles | Additional Information

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.


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Additional Information

Yildiray Ozan
Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email: ozan@metu.edu.tr

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07611-7
PII: S 0002-9939(04)07611-7
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