The boundary of the complex of free factors

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 and the structure theory of trees on the boundary of Outer space dev...

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Bibliographic Details
Published in:Duke mathematical journal 2015-08, Vol.164 (11), p.2213-2251
Main Authors: Bestvina, Mladen, Reynolds, Patrick
Format: Article
Language:English
Subjects:
20F67
57M07
curve complex
geometry of folding paths
Gromov hyperbolicit
Outer space
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Summary: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 and the structure theory of trees on the boundary of Outer space developed recently by Coulbois, Hilion, Lustig, and Reynolds.
ISSN:0012-7094
1547-7398
DOI:10.1215/00127094-3129702