On the cohomology of elliptic coformal spaces

TL;DR

This paper advances the understanding of the cohomology of rationally elliptic coformal spaces, completing the proof of Lupton's conjecture and deriving Hilali's conjecture, thereby contributing to algebraic topology.

Contribution

It provides a complete proof of Lupton's conjecture for elliptic coformal spaces and deduces Hilali's conjecture, advancing the theoretical framework in rational homotopy theory.

Findings

Proof of Lupton's conjecture for elliptic coformal spaces

Deduction of Hilali's conjecture from the main results

Enhanced understanding of the cohomology structure in rational homotopy theory

Abstract

In this article, we pursue the study begun in \cite{Lup02} on the cohomology of rationally elliptic coformal spaces. Consequently, we complete, for such spaces, the proof of Lupton's conjecture and deduce Hilali's.