The Hilali Conjecture for hyperelliptic spaces

Abstract

The Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give a proof of this conjecture for a class of elliptic spaces known as hyperelliptic.

13 pages, no figures

References in corpus (1)

• A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

Cited by in corpus (3)

• A note on the Hilali conjecture
• Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups
• Local comparisons of homological and homotopical mixed Hodge polynomials