| 书目名称 | Real Homotopy of Configuration Spaces | | 副标题 | Peccot Lecture, Coll | | 编辑 | Najib Idrissi | | 视频video | | | 概述 | Provides an in-depth discussion of the connection between operads and configuration spaces.Describes a unified and accessible approach to the use of graph complexes.Based on 4 lectures held in the fra | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2022 | | 关键词 | Configuration Spaces of Manifolds; Operad Theory; Homotopy Invariants of Manifolds; Semi-algebraic Form | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-04428-1 | | isbn_softcover | 978-3-031-04427-4 | | isbn_ebook | 978-3-031-04428-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:02:23
