Fragmented Hofer’s geometry

DOI10.1142/S0129167X18500970zbMath1408.57028arXiv1612.01080OpenAlexW2963021414MaRDI QIDQ4644400

Morimichi Kawasaki

Publication date: 7 January 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01080

zbMATH Keywords

symplectic manifoldHofer's geometryCalabi homomorphismconjugation-invariant normfragmentation normspectral invariant

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Symplectic aspects of Floer homology and cohomology (53D40) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (1)

Disjoint superheavy subsets and fragmentation norms

Cites Work

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• Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces
• Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenization
• Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
• The Calabi invariant for some groups of homeomorphisms
• Symplectic topology as the geometry of generating functions
• Hamiltonian dynamics on convex symplectic manifolds
• Monodromy in Hamiltonian Floer theory
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• On the action spectrum for closed symplectically aspherical manifolds
• The geometry of symplectic energy
• Simplicity of homeo\((\mathbb{D}^2,\partial\mathbb{D}^2\), Area) and fragmentation of symplectic diffeomorphisms
• On the topological properties of symplectic maps
• Conjugation-invariant norms on groups of geometric origin
• Structure of the group of homeomorphisms preserving a good measure on a compact manifold
• BIINVARIANT METRICS ON THE GROUP OF HAMILTONIAN DIFFEOMORPHISMS
• Conjugation-invariant norms on the commutator subgroup of the infinite braid group
• DESCENT AND C⁰-RIGIDITY OF SPECTRAL INVARIANTS ON MONOTONE SYMPLECTIC MANIFOLDS
• Graphicality, C^0 convergence, and the Calabi homomorphism

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