A virtual geometric action of a braid group
Sylvain Barre, Mikael Pichot
TL;DR
This paper investigates a geometric action of a finite index subgroup of a quotient of the braid group on 4 strands on a CAT(0) space, revealing new insights into its geometric structure.
Contribution
It introduces a novel geometric action of a specific subgroup of the braid group quotient on a CAT(0) space, expanding understanding of braid group representations.
Findings
Established a geometric action on a CAT(0) space
Identified properties of the subgroup's action
Enhanced understanding of braid group quotients
Abstract
We study a geometric action on a CAT(0) space of a finite index subgroup of the quotient group of the braid group on 4 strands by its center.
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Taxonomy
TopicsGeometric and Algebraic Topology · Topological and Geometric Data Analysis · Advanced Combinatorial Mathematics