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Real Homotopy of Configuration Spaces: Peccot Lecture, College de France, March & May 2020 free ebook download

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Mathematics

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Author(s):	Najib Idrissi

Date:	2022	Format:	pdf	Language:	English	ISBN/ASIN:	3031044274
Pages:	205	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	1/3/2024 2:04:01 AM

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3031044274 pdf
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.

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Tags: College Configuration France Homotopy Lecture March Peccot Real Spaces

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Real Homotopy of Configuration Spaces: Peccot Lecture, College de France, March & May 2020 free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics