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arXiv · 1802.04897

On the centralizer of generic braids

Juan Gonzalez-Meneses·Dolores Valladares
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Abstract

We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of generators can be computed very efficiently, as the ultra summit set of a generic braid has a very particular structure. We present an algorithm to compute the centralizer of a braid whose generic-case complexity is quadratic on the length of the input, and which outputs a minimal set of generators in the generic case.

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Juan Gonzalez-Meneses, Dolores Valladares. 2018-02-13. On the centralizer of generic braids. https://arxiv.org/abs/1802.04897

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