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Springer theory in braid groups and the Birman-Ko-Lee monoid

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arxiv math/0010254 v1 pith:ICD347NO submitted 2000-10-26 math.GR math.AT

classification math.GRmath.AT
keywords braidgroupsbirman-ko-leeresultsaccountartincasescentral
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We state a conjecture about centralizers of certain roots of central elements in braid groups, and check it for Artin braid groups and some other cases. Our proof makes use of results by Birman-Ko-Lee; we give a new intrinsic account of these results.

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  1. Using Large Language Models to Study Mathematical Practice

    math.HO 2025-06 conditional novelty 6.0 of 10

    An LLM-assisted corpus study finds that roughly 3% to 12% of 5,000 arXiv math papers contain clear or borderline appeals to mathematical explanation, with frequency varying by subfield.

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