On the topological dimension of the Gromov boundaries of some hyperbolic $Out(F_N)$-graphs
Mladen Bestvina, Camille Horbez, and Richard D. Wade
TL;DR
This paper establishes linear upper bounds on the topological dimensions of Gromov boundaries for several hyperbolic graphs associated with free groups, advancing understanding of their geometric complexity.
Contribution
It provides the first linear bounds on the topological dimensions of Gromov boundaries for key hyperbolic graphs related to free groups.
Findings
Linear upper bounds on boundary dimensions established
Results apply to intersection, free factor, and cyclic splitting graphs
Advances understanding of hyperbolic graph boundaries in free group theory
Abstract
We give upper bounds, linear in rank, to the topological dimensions of the Gromov boundaries of the intersection graph, the free factor graph and the cyclic splitting graph of a finitely generated free group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.