-groupoids and homotopy types
A Chen model for mapping spaces and the surface product
We develop a machinery of Chen iterated integrals for higher Hochschild complexes. These are complexes whose differentials are modeled on an arbitrary simplicial set much in the same way the ordinary Hochschild differential is modeled on the circle. We use these to give algebraic models for general mapping spaces and define and study the surface product operation on the homology of mapping spaces of surfaces of all genera into a manifold. This is an analogue of the loop product in string topology....
A counterexample to a group completion conjecture of J. C. Moore.
A duality on simplicial complexes.
A Galois theory with stable units for simplicial sets.
A semi-simplicial approach to foliations and their transverse structure [Book]
A simplicial description of the homotopy category of simplicial groupoids.
A split exact sequence of Mackey functors.
Affine simplices in Oka manifolds.
Algèbres graphiques (sur un concept de dimension dans les langages formels)
An extension of Miller's version of the de Rham Theorem with any coefficients
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
Applications of Peiffer pairings in the Moore complex of a simplicial group.
Betti numbers of Buchsbaum complexes.
Betti numbers of monoid algebras. Applications to 2-dimensional torus imbeddings.
Cat as a closed model category
Catégorie homotopique stable d’un site suspendu avec intervalle
Cet article présente la construction de la catégorie homotopique stable d’un site suspendu avec intervalle arbitraire. La fonctorialité de cette construction est étudiée, avec des applications à la théorie homotopique des schémas introduite par F. Morel et V. Voevodsky.
Catégories, complexes et homotopie
Classifying spaces of categories and term rewriting.
Cochain operations and subspace arrangements.
Coherent prohomotopical algebra