Cœur et nombre d'intersection pour les actions de groupes sur les arbres
Guirardel, Vincent
Annales scientifiques de l'École Normale Supérieure, Tome 38 (2005), p. 847-888 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_2005_4_38_6_847_0,
     author = {Guirardel, Vincent},
     title = {C\oe ur et nombre d'intersection pour les actions de groupes sur les arbres},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {38},
     year = {2005},
     pages = {847-888},
     doi = {10.1016/j.ansens.2005.11.001},
     zbl = {1110.20019},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/ASENS_2005_4_38_6_847_0}
}

Guirardel, Vincent. Cœur et nombre d'intersection pour les actions de groupes sur les arbres. Annales scientifiques de l'École Normale Supérieure, Tome 38 (2005) pp. 847-888. doi : 10.1016/j.ansens.2005.11.001. http://gdmltest.u-ga.fr/item/ASENS_2005_4_38_6_847_0/

[1] Bestvina M., Feighn M., Handel M., Laminations, trees, and irreducible automorphisms of free groups, Geom. Funct. Anal. 7 (2) (1997) 215-244. | MR 1445386 | Zbl 0884.57002

[2] Bestvina M., Feighn M., Handel M., Erratum to: Laminations, trees, and irreducible automorphisms of free groups [Geom. Funct. Anal. 7 (2) (1997) 215-244 ; MR 98c:20045], Geom. Funct. Anal. 7 (6) (1997) 1143. | MR 1445386 | Zbl 0884.57002

[3] Bestvina M., Handel M., Train tracks and automorphisms of free groups, Ann. of Math. (2) 135 (1) (1992) 1-51. | MR 1147956 | Zbl 0757.57004

[4] Bridson M.R., Haefliger A., Metric Spaces of Non-Positive Curvature, Grundlehren der Mathematischen Wissenschaften, vol. 319, Springer, Berlin, 1999. | MR 1744486 | Zbl 0988.53001

[5] Bonahon F., Bouts des variétés hyperboliques de dimension 3, Ann. of Math. (2) 124 (1) (1986) 71-158. | MR 847953 | Zbl 0671.57008

[6] Chiswell I., Introduction to Λ-Trees, World Scientific, River Edge, NJ, 2001. | Zbl 1004.20014

[7] Culler, M., Levitt, G., Shalen, P., manuscrit non publié.

[8] Freedman M., Hass J., Scott P., Least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (3) (1983) 609-642. | MR 695910 | Zbl 0482.53045

[9] Fathi A., Laudenbach F., Poénaru V., Travaux de Thurston sur les surfaces, Société Mathématique de France, Paris, 1979, Séminaire Orsay. | MR 568308 | Zbl 0406.00016

[10] Fujiwara K., Papasoglu P., JSJ decomposition of finitely presented groups and complexes of groups, http://topo.math.u-psud.fr/~papazog/preprints.html. | MR 2221253

[11] Guirardel V., Core and intersection number for group actions on R-trees, http://arxiv.org/abs/ math.GR/0407206.

[12] Handel M., Mosher L., Parageometric outer automorphisms of free groups, http://arxiv.org/abs/ math.GR/0410018. | MR 2299450

[13] Levitt G., R-Trees and the Bieri-Neumann-Strebel Invariant, Publ. Mat. 38 (1) (1994) 195-202. | MR 1291961 | Zbl 0829.20038

[14] Levitt, G., Lustig, M., Asymptotic periodicity for automorphisms of free groups and hyperbolic groups, en préparation.

[15] Levitt G., Paulin F., Geometric group actions on trees, Amer. J. Math. 119 (1) (1997) 83-102. | MR 1428059 | Zbl 0878.20019

[16] Lustig, M., A discrete action on the product of two non-simplicial R-trees, manuscrit non publié.

[17] Niblo G., Sageev M., Scott P., Swarup G., Minimal cubings, http://arxiv.org/abs/ math.GR/0401133. | MR 2142089

[18] Sageev M., Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. (3) 71 (3) (1995) 585-617. | MR 1347406 | Zbl 0861.20041

[19] Scott P., The symmetry of intersection numbers in group theory, Geom. Topology 2 (1998) 11-29. | MR 1608688 | Zbl 0897.20029

[20] Scott P., Swarup G.A., Splittings of groups and intersection numbers, Geom. Topology 4 (2000) 179-218. | MR 1772808 | Zbl 0983.20024

[21] Scott P., Swarup G.A., Regular neighbourhoods and canonical decompositions for groups, Astérisque 289 (2003) vi+233. | MR 2032389 | Zbl 1036.20028

[22] Serre J.-P., Arbres, amalgames, SL 2 , Astérisque, vol. 46, Société Mathématique de France, Paris, 1977. | MR 476875 | Zbl 0369.20013