Relative flux homomorphism in symplectic geometry

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2005-01-01

Author

Ozan, Yıldıray

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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.

Subject Keywords

Applied Mathematics, General Mathematics

URI

https://hdl.handle.net/11511/41563

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/s0002-9939-04-07611-7

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Department of Mathematics, Article

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Citation Formats

Y. Ozan, “Relative flux homomorphism in symplectic geometry,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 1223–1230, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41563.