Injections of the complex of separating curves into the Torelli complex
Group Theory
2015-03-13 v3 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0911.3926,
title = {Injections of the complex of separating curves into the Torelli complex},
author = {Yoshikata Kida},
journal= {arXiv preprint arXiv:0911.3926},
year = {2015}
}
Comments
41 pages, 17 figures, organization rearranged