On the rational homotopy type of embedding spaces of manifolds in $R^n$

Abstract

We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a main result we express the rational homotopy type of connected components of those embedding spaces through combinatorially defined $L_{\infty }$-algebras of diagrams.

arXiv comment58 pages

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Cited by in corpus (1)

• On the homotopy type of the spaces of spherical knots in $R^n$