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The Braid Shelf

2017/11/27 by Patrick Dehornoy, Dehornoy, Patrick
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1711.09794

openalex publication_date 2017/11/27 · openalex created_date 2023/05/31 · openalex updated_date 2026/07/28

Abstract

The braids of B_∞ can be equipped with a selfdistributive operation \mathbin\triangleright enjoying a number of deep properties. This text is a survey of known properties and open questions involving this structure, its quotients, and its extensions.

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