THE NONLINEAR MASLOV INDEX AND THE CALABI HOMOMORPHISM

DOI10.1142/S0219199707002630zbMath1181.53067arXivmath/0604190MaRDI QIDQ3502783

Gabi Ben Simon

Publication date: 20 May 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604190

zbMATH Keywords

diffeomorphismdynamical systemssymplectic geometryhomomorphismMaslov indexquasimorphism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50)

Related Items (9)

Homogeneous quasimorphisms, \(C^0\)-topology and Lagrangian intersection ⋮ Erratum to: ``A variational approach to Givental's nonlinear Maslov index ⋮ Quasi-state rigidity for finite-dimensional Lie algebras ⋮ A variational approach to Givental's nonlinear Maslov index ⋮ Quasimorphisms on contactomorphism groups and contact rigidity ⋮ REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS ⋮ Calabi quasi-morphisms and Reeb graph on the torus ⋮ Quasi-morphisms via Local Action Data and Quasi-isometries ⋮ Quasi-morphisms on contactomorphism groups and Grassmannians of 2-planes

Cites Work

• Unnamed Item
• Cohomology of symplectomorphism groups and critical values of Hamiltonians
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Rotation numbers of Hamiltonian isotopies in complex projective spaces

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