Injections of the complex of separating curves into the Torelli complex

Details Injections of the complex of separating curves into the Torelli complex Injections of the complex of separating curves into the Torelli complex

2009-11-19

arxiv.org/abs/0911.3926v3

Mathematics

Group Theory

41 pages, 17 figures, organization rearranged

Scientific paper

We show that for all but finitely many compact orientable surfaces, any superinjective map from the complex of separating curves into the Torelli complex is induced by an element of the extended mapping class group. As an application, we prove that any injective homomorphism from a finite index subgroup of the Johnson kernel into the Torelli group for such a surface is induced by an element of the extended mapping class group.

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