REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS

DOI10.1142/S1793525310000367zbMath1204.53075arXiv0905.1434OpenAlexW2962873631MaRDI QIDQ4930568

Egor Shelukhin

Publication date: 29 September 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1434

zbMATH Keywords

Maslov indexsymplectic manifoldbarycentersquasimorphismFutaki invariantprequantizationsmoment polytopesaction-Maslov morphismCalabi-Weinstein invariantmass-linear functionsPy quasimorphism

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (4)

The topology of toric symplectic manifolds ⋮ Symplectic manifolds with vanishing action-Maslov homomorphism ⋮ Characteristic number associated to mass linear pairs ⋮ Chern–Weil theory and the group of strict contactomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of contact transformations and domains: orderability versus squeezing
• Hamiltonian diffeomorphisms of toric manifolds and flag manifolds
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Invariant polynomials on compact complex manifolds
• Pseudo holomorphic curves in symplectic manifolds
• Invariant polynomials of the automorphism group of a compact complex manifold
• Cohomology of symplectomorphism groups and critical values of Hamiltonians
• Characteristic classes in symplectic topology (with an appendix by Ludmil Katzarkov)
• Topological rigidity of Hamiltonian loops and quantum homology
• Convexity properties of the moment mapping
• Kähler-Einstein metrics and integral invariants
• Euler and Maslov cocycles
• Extremal Kähler metrics and complex deformation theory
• \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
• A construction of new families of minimal Lagrangian submanifolds via torus actions
• Bando-Calabi-Futaki character of compact toric manifolds
• Scalar curvature and stability of toric varieties.
• An obstruction to the existence of Einstein Kaehler metrics
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• On the quantum homology algebra of toric Fano manifolds
• Tian's invariant of the Grassmann manifold
• Lengths of contact isotopies and extensions of the Hofer metric
• A characteristic number of Hamiltonian bundles over \(S^{2}\)
• On the topological properties of symplectic maps
• THE NONLINEAR MASLOV INDEX AND THE CALABI HOMOMORPHISM
• Convexity and Commuting Hamiltonians
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• ASYMPTOTIC CHOW SEMI-STABILITY AND INTEGRAL INVARIANTS
• Quasi-morphismes et invariant de Calabi

This page was built for publication: REMARKS ON INVARIANTS OF HAMILTONIAN LOOPS