English

The Hilali Conjecture for hyperelliptic spaces

Algebraic Topology 2016-09-12 v1

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.

Keywords

Cite

@article{arxiv.1205.1455,
  title  = {The Hilali Conjecture for hyperelliptic spaces},
  author = {Javier Fernandez de Bobadilla and Javier Fresan and Vicente Muñoz and Aniceto Murillo},
  journal= {arXiv preprint arXiv:1205.1455},
  year   = {2016}
}

Comments

13 pages, no figures

R2 v1 2026-06-21T20:59:43.190Z