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Relative flux homomorphism in symplectic geometry
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Date
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
Collections
Department of Mathematics, Article
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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.