Gradients de Heegaard sous-logarithmiques d'une variété hyperbolique de dimension trois et fibres virtuelles.
Pré-print du CMLA 2011-10 - version du 1er décembre 2011
Documents à télécharger :
- CMLA2011-10.pdf (449 Ko)
Auteur : Claire Renard
Abstract :
J. Maher has proven that a closed, connected and orientable hyperbolic 3-manifold $M$ virtually fibers over the circle if and only if it admits an infinite family of finite covers with bounded Heegaard genus.
Building on Maher's proof, we present in this article a theorem giving a sufficient condition for a finite cover of a closed hyperbolic 3-manifold to contain a fiber in terms of the covering degree $d$ and the Heegaard genus of the cover.
We introduce sub-logarithmic versions of Lackenby's infimal Heegaard gradients. In this setting, we expose the analogues of Lackenby's Heegaard gradient and strong Heegaard gradient conjectures.
J. Maher has proven that a closed, connected and orientable hyperbolic 3-manifold $M$ virtually fibers over the circle if and only if it admits an infinite family of finite covers with bounded Heegaard genus.
Building on Maher's proof, we present in this article a theorem giving a sufficient condition for a finite cover of a closed hyperbolic 3-manifold to contain a fiber in terms of the covering degree $d$ and the Heegaard genus of the cover.
We introduce sub-logarithmic versions of Lackenby's infimal Heegaard gradients. In this setting, we expose the analogues of Lackenby's Heegaard gradient and strong Heegaard gradient conjectures.
- Type :
- Publication