The seven-strand braid group is CAT(0)
Seong Gu Jeong
TL;DR
This paper proves that the 7-strand braid group has a CAT(0) metric space structure, confirming its non-positive curvature properties.
Contribution
It provides a detailed proof that the 7-strand braid group is CAT(0), extending previous work on braid groups.
Findings
7-strand braid group is CAT(0)
Supports non-positive curvature conjectures for braid groups
Builds on Haettel, Kielak, and Schwer's framework
Abstract
We prove that the 7-strand braid group is CAT(0) by elaborating on the argument of Haettel, Kielak and Schwer
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis