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arxiv: math/0509117 · v2 · submitted 2005-09-06 · 🧮 math.DS · math.GT

A trace formula for the forcing relation of braids

classification 🧮 math.DS math.GT
keywords forcingbraidsformulaorderrelationtraceanaloguebeen
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The forcing relation of braids has been introduced for a 2-dimensional analogue of the Sharkovskii order on periods for maps of the interval. In this paper, by making use of the Nielsen fixed point theory and a representation of braid groups, we deduce a trace formula for the computation of the forcing order.

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