Combinatorics of Orbit Configuration Spaces

On Orbit Configuration Spaces of Spheres

Monodromy of Fiber-type Arrangements and Orbit Configuration Spaces

We prove similar theorems concerning the structure of bundles involving complements of fiber-type hyperplane arrangements and orbit configuration spaces. These results facilitate analysis of the fundamental groups of these spaces, which may be viewed as generalizations of the Artin pure braid group. In particular, we resolve two disparate conjectures. We show that the Whitehead group of the fun...

Orbit configuration spaces associated to discrete subgroups of PSL

The purpose of this article is to analyze several Lie algebras associated to " orbit configuration spaces " obtained from a group G acting freely, and properly discontinuously on the upper 1/2-plane À 2. The Lie algebra obtained from the descending central series for the associated fundamental group is shown to be isomorphic, up to a regrading, to 1. the Lie algebra obtained from the higher hom...

Orbit Spaces Arising from Isometric Actions on Hyperbolic Spaces

Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology.  Dimension of is called the cohomogeneity of the action of  on . If is a differentiable manifold  of  cohomogeneity one under the action of  a compact and connected Lie group, then the orbit space is homeomorphic to one of the spaces , , or . In this paper we suppo...

Configuration Spaces

0 7 4 0 7 4 5 9 / 0 4 / $ 2 0 . 0 0 © 2 0 0 4 I E E E distributed systems is most often specified in terms of quality-of-service (QoS) requirements, which help define the acceptable levels of dependability with which capabilities such as processing capacity, data throughput, or service availability reach users. For longer-term properties such as scalability, maintainability, adaptability, and s...