Relative flux homomorphism in symplectic geometry
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.133, sa.4, ss.1223-1230, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 133 Sayı: 4
- Basım Tarihi: 2005
- Doi Numarası: 10.1090/s0002-9939-04-07611-7
- Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1223-1230
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.