62 citations · 280 across the 23 of their papers we have counts for
4 papers · 2 filters
Injections of the complex of separating curves into the Torelli complex
Yoshikata Kida
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 o…
The co-Hopfian property of the Johnson kernel and the Torelli group
Yoshikata Kida
For all but finitely many compact orientable surfaces, we show that any superinjective map from the complex of separating curves into itself is induced by an element of the extende…
Automorphisms of the Torelli complex and the complex of separating curves
Yoshikata Kida
We compute the automorphism groups of the Torelli complex and the complex of separating curves for all but finitely many compact orientable surfaces. As an application, we show tha…
Rigidity of amalgamated free products in measure equivalence
Yoshikata Kida
A discrete countable group Γis said to be ME rigid if any discrete countable group that is measure equivalent to Γis virtually isomorphic to Γ. In this paper, we construct ME rigid…