Institute for Mathematical Sciences
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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