Rational maps from Euclidean configuration spaces to spheres

Authors

URTZI BUIJS
ANTONIO GARVIN
ANICETO MURILLO

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.

DOI

10.3906/mat-1807-82

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