A polynomial-time solution to the reducibility problem

Ki Hyoung Ko; Jang Won Lee

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A polynomial-time solution to the reducibility problem

Ki Hyoung Ko·Jang Won Lee

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Abstract

We propose an algorithm for deciding whether a given braid is pseudo-Anosov, reducible, or periodic. The algorithm is based on Garside's weighted decomposition and is polynomial-time in the word-length of an input braid. Moreover, a reduction system of circles can be found completely if the input is a certain type of reducible braids.

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BibTeX RIS

Ki Hyoung Ko, Jang Won Lee. 2006-12-05. A polynomial-time solution to the reducibility problem. https://arxiv.org/abs/math/0610746

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