Cosimplicial models for spaces of links
Algebraic Topology
2009-11-03 v3 Geometric Topology
Abstract
We study the spaces of string links and homotopy string links in an arbitrary manifold using multivariable manifold calculus of functors. We construct multi-cosimplicial models for both spaces and deduce certain convergence properties of the associated Bousfield-Kan homotopy and cohomology spectral sequences when the ambient manifold is a Euclidean space of dimension four or more.
Keywords
Cite
@article{arxiv.0906.2589,
title = {Cosimplicial models for spaces of links},
author = {Brian A. Munson and Ismar Volic},
journal= {arXiv preprint arXiv:0906.2589},
year = {2009}
}
Comments
Minor mistakes and typos corrected