Rational maps from Euclidean Configuration Spaces to Spheres

Urtzi Buijs, Antonio Garvin, Aniceto Murillo

In this note we give an algorithm to determine the rational homotopy type of the free and pointed mapping spaces $map(F({\mathbb{R}}^m,k),S^n)$ and $ma{p}^{\ast }(F({\mathbb{R}}^m,k),S^n)$.…