Brian H. Bowditch, Francesca Iezzi
Published 2015-12-14Version 1
Let S be a compact surface, and M be the double of a handlebody. Given a homotopy class of maps from S to M inducing an isomorphism of fundamental groups, we describe a canonical uniformly Lipschitz retraction of the sphere graph of M to the arc graph of S.
Quasi-isometric rigidity of piecewise geometric manifolds
Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs
On fundamental groups of spaces of (framed) embeddings of the circle in a $4$-manifold
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