Real homotopy of configuration spaces : Peccot Lecture, Collège de France, March & May 2020 / Najib Idrissi.
2022
QA612.7
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Title
Real homotopy of configuration spaces : Peccot Lecture, Collège de France, March & May 2020 / Najib Idrissi.
Author
Idrissi, Najib, author.
ISBN
9783031044281 (electronic bk.)
3031044282 (electronic bk.)
9783031044274 (print)
3031044282 (electronic bk.)
9783031044274 (print)
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xviii, 187 pages) : illustrations (some color).
Item Number
10.1007/978-3-031-04428-1 doi
Call Number
QA612.7
Dewey Decimal Classification
514/.24
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 14, 2022).
Series
Lecture notes in mathematics (Springer-Verlag) ; 2303. 1617-9692
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