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Real Homotopy Of Configuration Spaces Peccot Lecture Collge De France March May 2020 Najib Idrissi

Name: Real Homotopy Of Configuration Spaces Peccot Lecture Collge De France March May 2020 Najib Idrissi
SKU: BELL-47205468
Price: 31.00 USD
Availability: InStock
Rating: 4.1 (40 reviews)

SKU: BELL-47205468

$ 31.00 ~~$ 45.00~~ (-31%)

4.1

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Real Homotopy Of Configuration Spaces Peccot Lecture Collge De France March May 2020 Najib Idrissi instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 5.52 MB

Pages: 200

Author: Najib Idrissi

ISBN: 9783031044274, 3031044274

Language: English

Year: 2022

Product desciption

Real Homotopy Of Configuration Spaces Peccot Lecture Collge De France March May 2020 Najib Idrissi by Najib Idrissi 9783031044274, 3031044274 instant download after payment.

This 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, 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 the configuration spaces of the first manifold be continuously deformed into the configuration spaces of the second? This conjecture remains open for simply connected closed manifolds. Here, it is proved in characteristic zero (i.e. restricted to algebrotopological invariants with real coefficients), using ideas from the theory of operads. A generalization to manifolds with boundary is then considered. Based on the work of Campos, Ducoulombier, Lambrechts, Willwacher, and the author, the book covers a vast array of topics, including rational homotopy theory, compactifications, PA forms, propagators, Kontsevich integrals, and graph complexes, and will be of interest to a wide audience.