Extension problem of subset-controlled quasimorphisms

DOI10.1090/bproc/31zbMath1481.20192OpenAlexW2790235019MaRDI QIDQ3130532

Morimichi Kawasaki

Publication date: 23 January 2018

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

Full work available at URL: https://doi.org/10.1090/bproc/31

Mathematics Subject Classification ID

Cohomology of groups (20J06) Canonical transformations in symplectic and contact geometry (53D22) Knot theory (57K10)

Related Items (3)

\(\hat{G}\)-invariant quasimorphisms and symplectic geometry of surfaces ⋮ Bavard's duality theorem for mixed commutator length ⋮ Extensions of quasi-morphisms to the symplectomorphism group of the disk

Cites Work

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• Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces
• Bavard's duality theorem on conjugation-invariant norms
• Stable length of commutators
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Superheavy Lagrangian immersions in surfaces
• Quasi-states and symplectic intersections
• Bounded Cohomology of Certain Groups of Homeomorphisms
• Conjugation-invariant norms on groups of geometric origin
• Rigid subsets of symplectic manifolds
• Conjugation-invariant norms on the commutator subgroup of the infinite braid group
• Quasi-morphisms and quasi-states in symplectic topology

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