The rational homology of spaces of long knots in codimension \(> 2\)

DOI10.2140/gt.2010.14.2151zbMath1222.57020arXivmath/0703649OpenAlexW2124772228MaRDI QIDQ600818

Pascal Lambrechts, Ismar Volic, Victor Tourtchine

Publication date: 2 November 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703649

zbMATH Keywords

formalityknot spacesoperadsembedding calculusBousfield-Kan spectral sequence

Mathematics Subject Classification ID

Rational homotopy theory (55P62)

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Multivariable manifold calculus of functors, Enriched functor categories for functor calculus, Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links, Embedding calculus knot invariants are of finite type, Models for knot spaces and Atiyah duality, Rational homotopy via Sullivan models and enriched Lie algebras, Formality of Sinha's cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology, A geometric homology representative in the space of knots, Calculus of functors, operad formality, and rational homology of embedding spaces, The operad Lie is free, Cosimplicial models for spaces of links, A streamlined proof of the convergence of the Taylor tower for embeddings in ${\mathbb R}^n$, Homotopy graph-complex for configuration and knot spaces, On the rational homology of high-dimensional analogues of spaces of long knots, Formality of the little N-disks operad, Low stages of the Taylor tower for \(r\)-immersions, Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots, Galois symmetries of knot spaces, Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology, On the formality of the little disks operad in positive characteristic, Multiplicative formality of operads and Sinha's spectral sequence for long knots, Deloopings of the spaces of long embeddings

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