65 citations · 167 across the 15 of their papers we have counts for
15 papers
Configuration Spaces of Manifolds with Boundary
Ricardo Campos, Najib Idrissi, Pascal Lambrechts +1
We study ordered configuration spaces of compact manifolds with boundary. We show that for a large class of such manifolds, the real homotopy type of the configuration spaces only…
Euler series, Stirling numbers and the growth of the homology of the space of long links
Guillaume Komawila, Pascal Lambrechts
We study the Bousfield-Kan spectral sequence associated to the Munson-Volić cosimplicial model for the space of long links with strings in . We compute explicite…
Pretty rational models for Poincaré duality pairs
Hector Cordova Bulens, Pascal Lambrechts, Donald Stanley
We prove that a large class of Poincaré duality pairs admit rational models (in the sense of Sullivan) of a particularly nice form associated to some Poincaré duality CDGA. These m…
Rational models of the complement of a subpolyhedron in a manifold with boundary
Hector Cordova Bulens, Pascal Lambrechts, Donald Stanley
Let W be a compact simply connected triangulated manifold with boundary and be a subpolyhedron. We construct an algebraic model of the rational homotopy type of the c…
Formality of the little N-disks operad
Pascal Lambrechts, Ismar Volic
We develop the details of Kontsevich's proof of the formality of little N-disks operad over the field of real numbers. Formality holds in the category of operads of chain complexes…
Real Homotopy Theory of Semi-Algebraic Sets
Robert Hardt, Pascal Lambrechts, Victor Tourtchine +1
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebrai…