Titlebook: Real Homotopy of Configuration Spaces; Peccot Lecture, Coll Najib Idrissi Book 2022 The Editor(s) (if applicable) and The Author(s), under

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Configuration Spaces of Manifolds with Boundary,lds with boundary. The case of manifolds with boundary is more difficult than the case of manifolds: in general, the homotopy types of the configuration spaces of a manifold with boundary . depend on the homotopy type of the pair (., .), not just the homotopy type of ..

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Configuration Spaces of Closed Manifolds,In this chapter, we define the model conjectured by Lambrechts and Stanley (Algebr Geom Topol 8(2):1191–1222, 2008), and we show that their conjecture is true over . for a large class of closed manifolds.

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Book 2022onfiguration spaces consist of collections of pairwise distinct points in a given manifold, the study of which is a classical topic in algebraic topology. One of this theory’s most important questions concerns homotopy invariance: if a manifold can be continuously deformed into another one, then can

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Configuration Spaces and Operads,odes a category of algebras, such as associative algebras, commutative algebras, Lie algebras, and so on. In topology, they were introduced in the study of iterated loop spaces, which have a structure encoded by a certain class of operad, the little disks operads. These operads are central to the th

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0075-8434 e use of graph complexes.Based on 4 lectures held in the fraThis volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds.? Configuration spaces consist of collections of pairwise distinct points in a given manifold