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arxiv: 1003.6014 · v1 · submitted 2010-03-31 · 🧮 math.GT · math.GR

Simple Braids

classification 🧮 math.GT math.GR
keywords braidspositivealgebraiccanonicalcharacterizationcharacterizationsclassesclosures
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We study a subset of square free positive braids and we give a few algebraic characterizations of them and one geometric characterization: the set of positive braids whose closures are unlinks. We describe canonical forms of these braids and of their conjugacy classes.

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