Dynamical cocycles with values in the Artin braid group

Details Dynamical cocycles with values in the Artin braid group Dynamical cocycles with values in the Artin braid group

1997-04-15

arxiv.org/abs/math/9704230v1

Mathematics

Dynamical Systems

Scientific paper

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.

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