Displaying similar documents to “The n th root of a braid is unique up to conjugacy.”

Applications of Nielsen theory to dynamics

Boju Jiang (1999)

Banach Center Publications

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In this talk, we shall look at the application of Nielsen theory to certain questions concerning the "homotopy minimum" or "homotopy stability" of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the geometry and algebra involved are both accessible.

Non equivalence of NMS flows on S 3

B. Campos, P. Vindel (2012)

Mathematica Bohemica

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We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.