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math.GROct 7, 2007
29
citations (OpenAlex)
authors
  • D. Burago
  • S. Ivanov
  • L. Polterovich
arXiv abstractPDF
paper

Conjugation-invariant norms on groups of geometric origin

arXiv:0710.1412

Abstract

A group is said to be bounded if it has a finite diameter with respect to any bi-invariant metric. In the present paper we discuss boundedness of various groups of diffeomorphisms.

31 pages

References in corpus (1)

  • Stable length in stable groups

Cited by in corpus (12)

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  • On bi-invariant word metrics
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  • Concordance group and stable commutator length in braid groups
  • Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics
  • Stable length in stable groups
  • Simplicity of the group of compactly supported area preserving homeomorphisms of the open disc and fragmentation of symplectic diffeomorphisms
  • Bounded generation for congruence subgroups of Sp4​(R)
  • Monodromy in Hamiltonian Floer theory
  • Generalized torsion orders of generalized torsion elements
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