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20002025
most citedConfiguration Lie groupoids and orbifold braid groups

12 citations · 78 across the 28 of their papers we have counts for

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14 papers · 1 filter

math.GT2025

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.GT2023★ 1 cited

A four-term exact sequence of surface orbifold pure braid groups

S K Roushon

We prove a four-term exact sequence of surface orbifold pure braid groups for all genus , -dimensional orientable orbifolds with cone points. This corrects our earlier r…

math.GT2021

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…

math.GT2020★ 12 cited

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.GT2018★ 2 cited

A sufficient condition for a 2-dimensional orbifold to be good

S K Roushon

We prove that a connected 2-dimensional orbifold with finitely generated and infinite orbifold fundamental group is good. We also describe all the good 2-dimensional orbifolds with…

math.GT2014★ 3 cited

The isomorphism conjecture for groups with generalized free product structure

S. K. Roushon

In this article we study the K- and L-theory of groups acting on trees. We consider the problem in the context of the fibered isomorphism conjecture of Farrell and Jones. We show t…