Combinatorial rigidity in curve complexes and mapping class groups

Details Combinatorial rigidity in curve complexes and mapping class groups Combinatorial rigidity in curve complexes and mapping class groups

2005-03-10

arxiv.org/abs/math/0503199v5

Mathematics

Geometric Topology

15 pages, 3 figures. To appear in the Pacific Journal of Mathematics

Scientific paper

In all possible cases, we prove that local embeddings between two curve
complexes whose complexities do not increase from domain to codomain are
induced by surface homeomorphism. This is our first main result. From this we
can deduce our second, a strong local co-Hopfian result for mapping class
groups.

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