Geodesic
Manifold calculus and homotopy sheaves
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 361-383.

Voir la notice de l'article provenant de la source International Press of Boston

Manifold calculus is a form of functor calculus concerned with contravariant functors from some category of manifolds to spaces. A weakness in the original formulation is that it is not continuous in the sense that it does not handle the natural enrichments well. In this paper, we correct this by defining an enriched version of manifold calculus that essentially extends the discrete setting. Along the way, we recast the Taylor tower as a tower of homotopy sheafifications. As a spin-off we obtain a natural connection to operads: the limit of the Taylor tower is a certain (derived) space of right module maps over the framed little discs operad.
DOI : 10.4310/HHA.2013.v15.n2.a20
Classification : 18D50, 18F10, 18G55, 57R40
Keywords: manifold calculus, functor calculus, embedding, operad, homotopy sheaf 
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Pedro Boavida de Brito; Michael Weiss. Manifold calculus and homotopy sheaves. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 361-383. doi : 10.4310/HHA.2013.v15.n2.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a20/

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