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

Copies in the Library

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Lewis Library - Stacks QA3 .L28 no.2303 Browse related items Request

    Details

    Subject(s)
    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
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