Dynamical cocycles with values in the Artin braid group
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 inva...
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| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.math/9704230 |