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arXiv · 0906.2589

Cosimplicial models for spaces of links

Brian A. Munson·Ismar Volic
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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.

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Brian A. Munson, Ismar Volic. 2009-11-03. Cosimplicial models for spaces of links. https://arxiv.org/abs/0906.2589

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