The BNS-invariant for the pure braid groups

TL;DR

This paper computes and explicitly describes the BNS-invariant for pure braid groups, a geometric invariant introduced in 1987 that helps understand group properties.

Contribution

It provides the first explicit description of the BNS-invariant for pure braid groups, advancing the understanding of their geometric and algebraic structure.

Findings

Explicit description of the BNS-invariant for pure braid groups

Enhanced understanding of the geometric properties of pure braid groups

Foundation for further studies on group invariants

Abstract

In 1987 Bieri, Neumann and Strebel introduced a geometric invariant for discrete groups. In this article we compute and explicitly describe the BNS-invariant for the pure braid groups.