On configuration spaces, their homology, and Lie algebras

1995/05/01 by F.R. Cohen, Fred Cohen · 8 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Geometric and Algebraic Topology

paper · doi:10.1016/0022-4049(95)00054-z

Abstract

Homological and geometric properties of configuration spaces of points in Euclidean space are described. Connections to non-abelian analogues of exterior algebras and mapping class groups are also given.

Cited by

• A four-term exact sequence of fundamental groups of orbit configuration spaces
• A construction of the polylogarithm motive
• Cohomology ring of manifold arrangements
• Formality of the little N-disks operad
• Cohomology of generalised configuration spaces of points on ℝ^r
• On the category of Euclidean configuration spaces and associated fibrations
• Lie polynomials and a twistorial correspondence for amplitudes. [europepmc]
• Computing the alpha complex using dual active set quadratic programming. [europepmc]

Related

• Lie algebras and the (co)homology of configuration spaces
• On generalized configuration space and its homotopy groups
• Configuration spaces in algebraic topology
• Configuration spaces as commutative monoids
• Quantum groups from homologies of configuration spaces