On homotopy braids

2020/08/18 by В. Г. Бардаков, Bardakov, V. G., V. V. Vershinin +3 · 1 citation
Mathematics · #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Primary 20F36 #Secondary 20C12

paper · pdf · doi:10.48550/arxiv.2008.07806

openalex publication_date 2020/08/18 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Homotopy braid group is the subject of the paper. First, linearity of homotopy braid group over the integers is proved. Then we prove that the group homotopy braid group on three strands is torsion free.

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