Dynamical cocycles with values in the Artin braid group
动力系统
2016-09-07 v1
摘要
By considering the way an n-tuple of points in the 2-disk are linked together under iteration of an orientation preserving diffeomorphism, we construct a dynamical cocycle with values in the Artin braid group. We study the asymptotic properties of this cocycle and derive a series of topological invariants for the diffeomorphism which enjoy rich properties.
引用
@article{arxiv.math/9704230,
title = {Dynamical cocycles with values in the Artin braid group},
author = {Jean-Marc Gambaudo and Élisabeth E. Pécou},
journal= {arXiv preprint arXiv:math/9704230},
year = {2016}
}