A pr 1 99 7 Dynamical Cocycles with Values in the Artin Braid Group

نویسندگان

  • J. - M. Gambaudo
  • E. E. Pécou
چکیده

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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تاریخ انتشار 1999