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Real homotopy of configuration space...

Idrissi, Najib.

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Real homotopy of configuration spaces = Peccot Lecture, College de France, March & May 2020 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Real homotopy of configuration spaces/ by Najib Idrissi.
Reminder of title:	Peccot Lecture, College de France, March & May 2020 /
Author:	Idrissi, Najib.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xviii, 187 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Homotopy theory. -
Online resource:	https://doi.org/10.1007/978-3-031-04428-1
ISBN:	9783031044281

Real homotopy of configuration spaces = Peccot Lecture, College de France, March & May 2020 /
Idrissi, Najib.

Real homotopy of configuration spacesPeccot Lecture, College de France, March & May 2020 /[electronic resource] :by Najib Idrissi. - Cham :Springer International Publishing :2022. - xviii, 187 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,v. 23031617-9692 ;. - Lecture notes in mathematics ;v. 2303..

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.

ISBN: 9783031044281

Standard No.: 10.1007/978-3-031-04428-1doiSubjects--Topical Terms:

604501
Homotopy theory.

LC Class. No.: QA612.7 / .I37 2022

Dewey Class. No.: 514.24

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