Braid groups in complex projective spaces

TL;DR

This paper investigates the fundamental groups of point configurations in complex projective spaces and explores their connectivity properties, providing new insights into the topology of these geometric arrangements.

Contribution

It characterizes the fundamental groups of specific point configurations in complex projective spaces and applies these results to analyze their connectivity.

Findings

Determined the fundamental groups of ordered and unordered point sets in complex projective spaces.

Analyzed the connectivity of complex point configurations.

Provided new topological insights into geometric arrangements.

Abstract

We describe the fundamental groups of ordered and unordered k point sets in complex projective space of dimension n generating a projective subspace of dimension i. We apply these to study connectivity of more complicated configurations of points.