Geodesic
Sphere paths in outer space
Horbez, Camille1
1Ecole Normale Supérieure, 45 rue d’Ulm, F-75005 Paris, France
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2493-2517
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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We give estimates on the length of paths defined in the sphere model of outer space using a surgery process, and show that they make definite progress in some sense when they remain in some thick part of outer space. To do so, we relate the Lipschitz metric on outer space to a notion of intersection numbers.

DOI : 10.2140/agt.2012.12.2493
Classification : 20F65
Keywords: Outer space, Lipschitz metric, Intersection numbers

Horbez, Camille  1

1 Ecole Normale Supérieure, 45 rue d’Ulm, F-75005 Paris, France 
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Horbez, Camille. Sphere paths in outer space. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2493-2517. doi: 10.2140/agt.2012.12.2493

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