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We prove that every commutative differential graded algebra whose cohomology is a simply-connected PoincarÃ© duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected andâ€¦ (More)

- GREGORY ARONE, Pascal Lambrechts, ISMAR VOLIÄ†
- 2006

Let M be a smooth manifold and V a Euclidean space. Let Emb(M, V) be the homotopy fiber of the map Emb(M, V) âˆ’â†’ Imm(M, V). This paper is about the rational homol-ogy of Emb(M, V). We study it byâ€¦ (More)

- Pascal Lambrechts, Victor Turchin, ISMAR VOLIÄ†

We determine the rational homology of the space of long knots in R d for d â‰¥ 4. Our main result is that the Vassiliev spectral sequence computing this rational homology collapses at the E 1 page. Asâ€¦ (More)

Let f : P â†’Ö’ W be an embedding of a compact polyhedron in a closed oriented manifold W , let T be a regular neighborhood of P in W and let C := W r T be its complement. Then W is the homotopyâ€¦ (More)

We prove that the primitive part of the Sinha homology spectral sequence E2-term for the space of long knots is rationally isomorphic to the homotopy E2-term. We also define natural graph-complexesâ€¦ (More)

- Pascal Lambrechts, Victor Turchin, ISMAR VOLIÄ†
- 2008

We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in R for d â‰¥ 4 collapses at the E page. The main ingredients in the proof areâ€¦ (More)

- Robert M. Hardt, Pascal Lambrechts, Victor Turchin, ISMAR VOLIÄ†

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-algebraic differentialâ€¦ (More)

- GREG ARONE, Pascal Lambrechts, Victor Turchin, ISMAR VOLIÄ†
- 2007

We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in R for d â‰¥ 4 collapses at the E page. The main ingredients in the proof areâ€¦ (More)

- Pascal Lambrechts, Victor Turchin, ISMAR VOLIÄ†
- 2006

We define two natural projections from the cyclohedron to the associahedron and show that the preimages of any point via these projections might not be homeomorphic to (a cell decomposition of) aâ€¦ (More)

- S Patel, Pascal Lambrechts, Hagay Shemesh, Anastasia Mavridou
- International endodontic journal
- 2018

This Position Statement represents the consensus of an expert committee convened by the European Society of Endodontology (ESE) on External Cervical Resorption (ECR). The statement is based onâ€¦ (More)