The boundary of the complex of free factors

By M. Bestvina, P. Reynolds. 2012

62 citations recorded by the source corpus.

We give a description of the boundary of a complex of free factors that is analogous to E. Klarreich's description of the boundary of a curve complex. The argument uses the geometry of folding paths developed by Bestvina and Feighn as well as structural results about very small trees developed by Coulbois, Hilion, Lustig, and Reynolds.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/09bfa4c0aa128fde9ed17fe7848a05f1d4738cc6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Kasra Rafi
2. Ilya Kapovich
3. U. Hamenstaedt
4. Samuel J. Taylor

In Geometry and Topology

1. Kasra Rafi
2. Ilya Kapovich
3. Samuel J. Taylor
4. M. Bestvina
5. U. Hamenstaedt
6. A. Hilion
7. Camille Horbez
8. Saul Schleimer

In Mathematical Physics

1. Kasra Rafi
2. Ilya Kapovich
3. M. Bestvina
4. U. Hamenstaedt
5. Samuel J. Taylor
6. A. Hilion
7. Camille Horbez
8. Jorge Almeida

Citations in the corpus

• On hyperbolicity of free splitting and free factor complexes (2012, background): “Bestvina and Reynolds [6] and Hamenstandt [13] gave a description of the hyperbolic boundary of FFN .”