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Real homotopy of configuration spaces : Peccot Lecture, Collège de France, March & May 2020 / Najib Idrissi.
Author
Idrissi, Najib
[Browse]
Format
Book
Language
English
Published/Created
Cham, Switzerland : Springer, 2022.
©2022
Description
xviii, 185 pages : illustrations (some color) ; 24 cm
Availability
Available Online
Springer Nature - Springer Mathematics and Statistics eBooks 2022 English International
Springer Nature - Springer Lecture Notes in Mathematics eBooks
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Notes
Lewis Library - Stacks
QA3 .L28 no.2303
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Details
Subject(s)
Homotopy theory
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Algebraic topology
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Series
Lecture notes in mathematics (Springer-Verlag) ; 2303.
[More in this series]
Lecture notes in mathematics, 1617-9692 ; volume 2303
Summary note
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. Back cover.
Bibliographic references
Includes bibliographical references (pages 173-182) and index.
ISBN
3031044274
9783031044274
OCLC
1305912476
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Real homotopy of configuration spaces : Peccot Lecture, Collège de France, March and May 2020 / Najib Idrissi.
id
99125534249406421