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.

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