Relative flux homomorphism in symplectic geometry

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Atıf İçin Kopyala

Ozan Y.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.133, sa.4, ss.1223-1230, 2005 (SCI-Expanded)

• 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
• 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.