Counterexamples demonstrate that Torelli groups of some simply connected Kähler manifolds (complex dim ≥3) and hyperkähler manifolds are infinite, contradicting prior finiteness claims, with finiteness confirmed for K^{[2]}.
Kreck, Isotopy classes of diffeomorphisms of (k − 1)-connected almost parallelizable 2k- manifolds, Algebraic topology, Aarhus 1978 (Proc
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Finiteness and infiniteness results for Torelli groups of (hyper-)K\"ahler manifolds
Counterexamples demonstrate that Torelli groups of some simply connected Kähler manifolds (complex dim ≥3) and hyperkähler manifolds are infinite, contradicting prior finiteness claims, with finiteness confirmed for K^{[2]}.