Conjugation-invariant norms on the commutator subgroup of the infinite braid group

DOI10.1142/S1793525318500152zbMath1396.20036arXiv1605.02306MaRDI QIDQ4565342

Mitsuaki Kimura

Publication date: 12 June 2018

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02306

zbMATH Keywords

braid groupsquasimorphismsconjugation-invariant norms

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)

Related Items (6)

\(\hat{G}\)-invariant quasimorphisms and symplectic geometry of surfaces ⋮ Bavard's duality theorem for mixed commutator length ⋮ Norm-controlled cohomology of transformation groups ⋮ On Lipschitz functions on groups equipped with conjugation-invariant norms ⋮ Fragmented Hofer’s geometry ⋮ Extension problem of subset-controlled quasimorphisms

Cites Work

• Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces
• Concordance group and stable commutator length in braid groups
• Quasi-states and symplectic intersections
• Conjugation-invariant norms on groups of geometric origin
• On a Certain Numerical Invariant of Link Types

This page was built for publication: Conjugation-invariant norms on the commutator subgroup of the infinite braid group