Shadows of mapping class groups: capturing convex cocompactness

Mathematics – Geometric Topology

Scientific paper

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v3. Final version accepted for publication. Minor revisions, updated references. v2. Theorems 3.9 and 3.10 strengthened, proof

Scientific paper

We strengthen the analogy between convex co-compact Kleinian groups and
convex co-compact subgroups of the mapping class group of a surface (in the
sense of B. Farb and L. Mosher).

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