Dynamical cocycles with values in the Artin braid group

Authors
Gambaudo, JM Pecou, EE
Citation
Jm. Gambaudo et Ee. Pecou, Dynamical cocycles with values in the Artin braid group, ERGOD TH DY, 19, 1999, pp. 627-641
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
19
Year of publication
1999
Part
3
Pages
627 - 641
Database
ISI
SICI code
0143-3857(199906)19:<627:DCWVIT>2.0.ZU;2-N
Abstract
By considering the way an n-tuple of points in the 2-disk are linked togeth er under iteration of an orientation preserving diffeomorphism, we construc t a dynamical cocycle with values in the Artin braid group. We study the as ymptotic properties of this cocycle and derive a series of topological inva riants for the diffeomorphism which enjoy rich properties.