The Hilali Conjecture for Hyperelliptic Spaces

Javier Fernández de Bobadilla (), Javier Fresán (), Vicente Muñoz () and Aniceto Murillo ()
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Javier Fernández de Bobadilla: Consejo Superior de Investigaciones Cientìficas, Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM
Javier Fresán: Universitè Paris 13, LAGA, UMR 7539, Institut Galilée
Vicente Muñoz: Universidad Complutense de Madrid, Facultad de Ciencias Matemàticas
Aniceto Murillo: Universidad de Málaga, Departamento de Álgebra, Geometría y Topología

A chapter in Mathematics Without Boundaries, 2014, pp 21-36 from Springer

Abstract: 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: Rational homotopy; Sullivan models; Elliptic spaces; Tor functors (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_2

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DOI: 10.1007/978-1-4939-1106-6_2

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