On the rational topological complexity of coformal elliptic spaces

TL;DR

This paper investigates the rational topological complexity of coformal elliptic spaces, providing bounds and identifying cases where it equals the dimension of rational homotopy, advancing understanding in algebraic topology.

Contribution

It establishes bounds and exact values for the rational topological complexity of certain coformal elliptic spaces, a novel contribution in the field.

Findings

Bounds for rational topological complexity established

Equality with rational homotopy dimension shown for specific families

Techniques developed for analyzing elliptic spaces

Abstract

We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.