The rational homotopy type of configuration spaces of two points.

DOI10.5802/aif.2042zbMath1069.55006OpenAlexW1739904199MaRDI QIDQ1774054

Pascal Lambrechts, Donald Stanley

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_4_1029_0

zbMATH Keywords

configuration spacerational homotopy typeformalSullivan theoryCDGA-model

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items (14)

Rational model of the configuration space of two points in a simply connected closed manifold ⋮ J. W. Milnor's diagonal element in Poincaré duality algebras, Macaulay duality, the formulae of Thom and Wu, and a new characterization of Artin-Gorenstein algebras ⋮ A Batalin-Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials ⋮ Pretty rational models for Poincaré duality pairs ⋮ Double cohomology of moment-angle complexes ⋮ Cohomology, Bocksteins, and resonance varieties in characteristic 2 ⋮ Some computations in string topology ⋮ Formality and finiteness in rational homotopy theory ⋮ Unnamed Item ⋮ The Lambrechts-Stanley model of configuration spaces ⋮ A remarkable DGmodule model for configuration spaces ⋮ The rational homotopy type of the complement of the graph of a map ⋮ Lie-model for Thom spaces of tangent bundles ⋮ Algebraic models of Poincaré embeddings

Cites Work

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• Rational Poincaré duality spaces
• Real homotopy theory of Kähler manifolds
• Infinitesimal computations in topology
• Poincaré duality embeddings and fiberwise homotopy theory
• A compactification of configuration spaces
• On the rational homotopy type of configuration spaces
• Spaces of arcs and configuration spaces of manifolds
• Cochain model for thickenings and its application to rational LS-category
• Configuration spaces of algebraic varieties
• Poincare Duality Embeddings and Fibrewise Homotopy Theory, II

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