On quasi-morphisms from knot and braid invariants

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

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
Volume20
Issue number10
DOIs
StatePublished - 1 Oct 2011
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'On quasi-morphisms from knot and braid invariants'. Together they form a unique fingerprint.

Cite this