arXiv:1503.00501 Abstract | arXiv Analytics

arXiv:1503.00501 [math.AT]Abstract References Reviews Resources

Configuration categories and homotopy automorphisms

Published 2015-03-02Version 1

Let M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the boundary of M can be recovered from the configuration category of the interior of M. The grouplike monoid of derived homotopy automorphisms of the configuration category of the interior of M then acts on the homotopical model of the boundary of M, in a way which is compatible with the action of the homeomorphism group of M on the boundary of M.

Categories: math.AT

Subjects: 57R19, 55P65

Keywords: configuration category, homotopical model, smooth compact manifold, geometric conditions, derived homotopy automorphisms

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