Geodesic
Homological shadows of attracting laminations
Asaf Hadari1
1University of Hawaii at Manoa, Honolulu, USA
Groups, geometry, and dynamics, Tome 12 (2018) no. 3, pp. 837-864

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DOI

Given a free group Fn​, a fully irreducible automorphism f∈Aut(Fn​), and a generic element x∈Fn​, the elements fk(x) converge in the appropriate sense to an object called an attracting lamination of f. When the action of f on [Fn​,Fn​]Fn​​ has finite order, we introduce a homological version of this convergence, in which the attracting object is a convex polytope with rational vertices, together with a measure supported at a point with algebraic coordinates.
DOI : 10.4171/ggd/459
Classification : 57-XX
Mots-clés : Mapping class group, pseudo-Anosov, Aut(Fn​)

Asaf Hadari  1

1 University of Hawaii at Manoa, Honolulu, USA 
Asaf Hadari. Homological shadows of attracting laminations. Groups, geometry, and dynamics, Tome 12 (2018) no. 3, pp. 837-864. doi: 10.4171/ggd/459
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     title = {Homological shadows of attracting laminations},
     journal = {Groups, geometry, and dynamics},
     pages = {837--864},
     year = {2018},
     volume = {12},
     number = {3},
     doi = {10.4171/ggd/459},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/459/}
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