A note on the pure cactus group of degree three and the configuration space of four points on the circle

2024/08/28 by Takatoshi Hama, Hama, Takatoshi, Kazuhiro Ichihara +1
Mathematics · Physics and Astronomy · #05E18 #20F38 #20F65 #57M60 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2408.15478

openalex publication_date 2024/08/28 · openalex created_date 2024/09/29 · openalex updated_date 2026/07/28

Abstract

The cactus group was introduced by Henriques and Kamnitzer as an analogue of the braid group. In this note, we provide an explicit description of the relationship between the pure cactus group of degree three and the configuration space of four points on the circle.

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