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.

58 pages

References in corpus (4)

• Multiple disjunction for spaces of smooth embeddings
• The rational homotopy of mapping spaces of E${}_n$ operads
• On the homotopy type of the spaces of spherical knots in $R^n$
• Mapping Spaces for DG Hopf Cooperads and Homotopy Automorphisms of the Rationalization of $E_n$-operads

Cited by in corpus (1)

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