Real Homotopy of Configuration Spaces is popular PDF and ePub book, written by Najib Idrissi in 2022-06-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Real Homotopy of Configuration Spaces can be Read Online from any device for your convenience.
Real Homotopy of Configuration Spaces Book PDF 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.
Detail Book of Real Homotopy of Configuration Spaces PDF
- Author : Najib Idrissi
- Release : 11 June 2022
- Publisher : Springer Nature
- ISBN : 9783031044281
- Genre : Mathematics
- Total Page : 201 pages
- Language : English
- PDF File Size : 13,7 Mb
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