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math.GT2026
A four-term exact sequence of fundamental groups of orbit configuration spaces
S. K. Roushon
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,…
math.GT2025
Configuration Lie groupoids and orbifold braid groups
S K Roushon
We propose two definitions of configuration Lie groupoids and in both the cases we prove a Fadell-Neuwirth type fibration theorem for a class of Lie groupoids. We show that this is…
math.GT2025
Almost-quasifibrations and fundamental groups of orbit configuration spaces
S K Roushon
In this article we introduce the notion of a k-almost-quasifibration and give many examples. We also show that a large class of these examples are not quasifibrations. As a consequ…