On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc

DOI10.2140/agt.2013.13.795zbMath1267.57038arXiv1207.0624OpenAlexW3098045943MaRDI QIDQ1948299

Michael Brandenbursky, Jarosław Kȩdra

Publication date: 3 May 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0624

zbMATH Keywords

area-preserving diffeomorphismautonomous diffeomorphismautonomous metrichomogeneous quasimorphism

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (14)

Bounded cohomology of transformation groups ⋮ THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS ⋮ The autonomous norm on Ham \(({\mathbf R}^{2n})\) is bounded ⋮ The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms ⋮ The \(L^p\)-diameter of the group of area-preserving diffeomorphisms of \(S^2\) ⋮ Coloring link diagrams and Conway-type polynomial of braids ⋮ On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus ⋮ Autonomous Hamiltonian flows, Hofer's geometry and persistence modules ⋮ On the entropy norm on \(\text{Ham}(S^2)\) ⋮ Entropy and quasimorphisms ⋮ Non-autonomous curves on surfaces ⋮ Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk via braid groups ⋮ Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups ⋮ On the entropy norm on the group of diffeomorphisms of closed oriented surface

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