Rational maps from Euclidean configuration spaces to spheres

Authors

URTZI BUIJS
ANTONIO GARVIN
ANICETO MURILLO

DOI

10.3906/mat-1807-82

Abstract

In this note we give an algorithm to determine the rational homotopy type of the free and pointed mapping spaces $\map(F(\br^m,k),\bs^n)$ and $\map^*(F(\br^m,k),\bs^n)$. An explicit description of these spaces is given for $k=3$. The general case for $n$ odd is also presented as an immediate consequence of the rational version of a classical result of Thom.

First Page

2287

Last Page

2298

Recommended Citation

BUIJS, URTZI; GARVIN, ANTONIO; and MURILLO, ANICETO (2019) "Rational maps from Euclidean configuration spaces to spheres," Turkish Journal of Mathematics: Vol. 43: No. 5, Article 17. https://doi.org/10.3906/mat-1807-82
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/17