Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk via braid groups

DOI10.1090/S2330-1511-2014-00002-XzbMath1339.37022arXiv1204.4056OpenAlexW2963094351MaRDI QIDQ2814361

Tomohiko Ishida

Publication date: 21 June 2016

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4056

zbMATH Keywords

area-preserving diffeomorphismssymplectomorphismsquasi-morphismspseudo-characters

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items

\(\hat{G}\)-invariant quasimorphisms and symplectic geometry of surfaces, The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms, The \(L^p\)-diameter of the group of area-preserving diffeomorphisms of \(S^2\), Fragmentation norm and relative quasimorphisms, Bavard's duality theorem for mixed commutator length, On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus, On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc, On the entropy norm on \(\text{Ham}(S^2)\), Entropy and quasimorphisms, Extensions of quasi-morphisms to the symplectomorphism group of the disk

Cites Work

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