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- Title
ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS.
- Authors
BRANDENBURSKY, MICHAEL
- Abstract
We study quasi-morphisms on the groups Pn of pure braids on n strings and on the group ${\mathcal{D}}$ 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 Gambaudo-Ghys construction, using the above quasi-morphisms on Pn to build quasi-morphisms on the group ${\mathcal{D}}$ of diffeomorphisms of a 2-disk.
- Subjects
MORPHISMS (Mathematics); DIFFEOMORPHISMS; KNOT theory; CONCORDANCES (Topology); INVARIANTS (Mathematics); FLOER homology
- Publication
Journal of Knot Theory & Its Ramifications, 2011, Vol 20, Issue 10, p1397
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216511009212