Geodesic
CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 13-41

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the pair (M, ∂M) can be recovered from the configuration category of M \ ∂M. The grouplike monoid of derived homotopy automorphisms of the configuration category of M \ ∂M then acts on the homotopical model of (M, ∂M). That action is compatible with a better known homotopical action of the homeomorphism group of M \ ∂M on (M, ∂M). 
WEISS, MICHAEL S. CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 13-41. doi: 10.1017/S0017089518000502
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