On quasi-morphisms from knot and braid invariants Academic Article uri icon

abstract

  • We study quasi-morphisms on the groups Pn of pure braids on n strings and on the group 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 Gambaudo–Ghys construction, using the above quasi-morphisms on Pn to build quasi- morphisms on the group of diffeomorphisms of a 2-disk.

publication date

  • January 1, 2011