Orbit configuration spaces and the homotopy groups of the pair \((\prod_1^n {M,{F_n}} (M))\) for \(M\) either \({\mathbb{S}^2}\) or \(\mathbb{R} P^2\)

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Algebraic topology of manifolds (57N65) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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Inclusion of configuration spaces in Cartesian products, and the virtual cohomological dimension of the braid groups of \(\mathbb{S}^2\) and \(\mathbb{R}P^2\)
Commensurability in Artin groups of spherical type
Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
A survey of the homotopy properties of inclusion of certain types of configuration spaces into the Cartesian product
The braid groups of the projective plane.
The integral cohomology algebras of ordered configuration spaces of spheres
Self-coincidence of fibre maps
On the homotopy fibre of the inclusion map \(F_n(X)\hookrightarrow \prod _1^nX\) for some orbit spaces \(X\)
Artin-Gruppen und Coxeter-Gruppen
Homotopy groups of configuration spaces and the string problem of Dirac
The braid groups of \(E^ 2\) and \(S^ 2\)
Monodromy of fiber-type arrangements and orbit configuration spaces
Surface braid groups and coverings
Pull-Backs in Homotopy Theory
An Exact Sequence of Braid Groups.
The roots of the full twist for surface braid groups
Configuration Spaces.
Braid Groups of Compact 2-Manifolds with Elements of Finite Order
On braid groups
The Braid Groups.
Introduction to homotopy theory
On the structure of surface pure braid groups.
On orbit configuration spaces associated to the Gaussian integers: Homotopy and homology groups

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