Title: A four-term exact sequence of fundamental groups of orbit configuration spaces
Abstract:
We deduce that the fundamental groups of the orbit configuration spaces of an effective
and properly discontinuous action of a discrete group on a connected aspherical 2-manifold,
with isolated fixed points, fit into a four-term exact sequence. This comes as a consequence
of the four-term exact sequence of orbifold braid groups ([16], [11] and [17]).
The proof relates these two exact sequences and also draws a new consequence (Corollary 2.3) on the later one.
Click arXiv:2502.19853 for the full article.