On quasi-morphisms from knot and braid invariants

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15 Scopus citations


We study quasi-morphisms on the groups Pn of pure braids on n strings and on the group D of compactly supported area-preserving diffeomorphisms of an open two-dimensional disk. We show that it is possible to build quasi-morphisms on Pn by using knot invariants which satisfy some special properties. In particular, we study quasi-morphisms which come from knot Floer homology and Khovanov-type homology. We then discuss possible variations of the GambaudoGhys construction, using the above quasi-morphisms on Pn to build quasi-morphisms on the group D of diffeomorphisms of a 2-disk.

Original languageEnglish
Pages (from-to)1397-1417
Number of pages21
JournalJournal of Knot Theory and its Ramifications
Issue number10
StatePublished - 1 Oct 2011
Externally publishedYes


  • Quasi-morphisms
  • area-preserving diffeomorphisms
  • braid groups
  • knot concordance invariants

ASJC Scopus subject areas

  • Algebra and Number Theory


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