The Groups $G_{n}^{k}$ and Fundamental Groups of Configuration Spaces

Vassily Olegovich Manturov

Published 2016-12-13Version 1

We construct a map from fundamental groups of complements to some plane configurations to the groups $G_{n}^{k}$ for large $k$. We discuss connection between the groups $G_{n}^{k}$ for different $G_{n}^{k}$ and their geometric realization.