AN INTEGER-VALUED BI-INVARIANT METRIC ON THE GROUP OF CONTACTOMORPHISMS OF ℝ2n × S1

DOI10.1142/S1793525310000355zbMath1216.53077arXiv0910.5632OpenAlexW2963615165MaRDI QIDQ4930569

Sheila Sandon

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/0910.5632

zbMATH Keywords

generating functionscontactomorphism groupbi-invariant metric

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global theory of symplectic and contact manifolds (53D35)

Related Items (8)

Existence and classification of overtwisted contact structures in all dimensions ⋮ On Sandon-type metrics for contactomorphism groups ⋮ Bi-invariant metrics on the contactomorphism groups ⋮ ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ²ⁿ⁺¹ AND ℝ²ⁿ × S¹ ⋮ Geodesics of norms on the contactomorphisms group of \(\mathbb{R}^{2n}\times S^1\) ⋮ Quasimorphisms on contactomorphism groups and contact rigidity ⋮ Spectral invariants for monotone Lagrangians ⋮ Positive Legendrian isotopies and Floer theory

Cites Work

• Critical points of quasi-functions and generating families of Legendrian manifolds
• Symplectic topology as the geometry of generating functions
• Geometry of contact transformations and domains: orderability versus squeezing
• Pseudo holomorphic curves in symplectic manifolds
• Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
• A complete proof of Viterbo's uniqueness theorem on generating functions
• Symplectic homology via generating functions
• Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms
• Problèmes d'intersections et de points fixes en géométrie hamiltonienne. (Intersection and fixed-point problems in Hamiltonian geometry)
• The geometry of symplectic energy
• On the topological properties of symplectic maps
• Conjugation-invariant norms on groups of geometric origin
• Partially ordered groups and geometry of contact transformations

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