Finiteness and infiniteness results for Torelli groups of (hyper-)Kähler manifolds

Matthias Kreck, Yang Su

The Torelli group $\mathcal{T}(X)$ of a closed smooth manifold $X$ is the subgroup of the mapping class group ${\pi }_0({\mathrm{Diff}}^{+}(X))$ consisting of elements which act trivially on…