Homotopy graph-complex for configuration and knot spaces

2006/11/24 by Pascal Lambrechts, Lambrechts, Pascal, Victor Tourtchine +1
Mathematics · #57R40 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary: 57Q45 #Quantum Algebra (math.QA) #Secondary: 55P62

paper · pdf · doi:10.48550/arxiv.math/0611766

openalex publication_date 2006/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper 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-complexes computing the rational homotopy of configuration and of knot spaces.

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