Index realization for automorphisms of free groups - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Illinois Journal of Mathematics Année : 2015

Index realization for automorphisms of free groups

Martin Lustig
  • Fonction : Auteur
  • PersonId : 1002848
Thierry Coulbois

Résumé

For any surface Σ of genus g≥1 and (essentially) any collection of positive integers i1,i2,…,iℓ with i1+⋯+iℓ=4g−4 Masur and Smillie have shown that there exists a pseudo-Anosov homeomorphism h:Σ→Σ with precisely ℓ singularities S1,…,Sℓ in its stable foliation L, such that L has precisely ik+2 separatrices raying out from each Sk. In this paper we prove the analogue of this result for automorphisms of a free group FN, where "pseudo-Anosov homeomorphism" is replaced by "fully irreducible automorphism" and the Gauss-Bonnet equality i1+⋯+iℓ=4g−4 is replaced by the index inequality i1+⋯+iℓ≤2N−2 from Gaboriau, Jaeger, Levitt and Lustig.
Fichier non déposé

Dates et versions

hal-01482580 , version 1 (03-03-2017)

Identifiants

  • HAL Id : hal-01482580 , version 1

Citer

Martin Lustig, Thierry Coulbois. Index realization for automorphisms of free groups. Illinois Journal of Mathematics, 2015, 59 (4), pp.1111-1128. ⟨hal-01482580⟩
74 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More