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

Fresse, Benoit; Turchin, Victor; Willwacher, Thomas

Document type :

Pré-publication ou Document de travail

Title :

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

Author(s) :

Fresse, Benoit [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Turchin, Victor [Auteur]
Department of Mathematics [University of Kansas]
Willwacher, Thomas [Auteur]
Institut für Mathematik [Zürich]

Publication date :

2020-08-18

HAL domain(s) :

Mathématiques [math]/Topologie algébrique [math.AT]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Opérades, Calcul et méthodes de théorie de l'Homotopie en Topologie

Comment :

58 pages

Collections :