Institute for Mathematical Sciences

Preprint ims97-5

J.-M. Gambaudo and E. E. Pecou
Dynamical Cocycles with Values in the Artin Braid Group.

Abstract: 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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