Geodesic
Algebraic ending laminations and quasiconvexity
Mj, Mahan1 ; Rafi, Kasra2
1 School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada
Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 1883-1916

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We explicate a number of notions of algebraic laminations existing in the literature, particularly in the context of an exact sequence

of hyperbolic groups. These laminations arise in different contexts: existence of Cannon–Thurston maps; closed geodesics exiting ends of manifolds; dual to actions on ℝ–trees.

We use the relationship between these laminations to prove quasiconvexity results for finitely generated infinite-index subgroups of H, the normal subgroup in the exact sequence above.

DOI : 10.2140/agt.2018.18.1883
Classification : 20F65, 20F67, 30F60
Keywords: hyperbolic group, mapping torus, quasiconvexity, ending lamination, Cannon-Thurston map

Mj, Mahan 1 ; Rafi, Kasra 2

1 School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada 
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Mj, Mahan; Rafi, Kasra. Algebraic ending laminations and quasiconvexity. Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 1883-1916. doi: 10.2140/agt.2018.18.1883

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