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Real-analytic, volume-preserving actions of lattices on 4-manifolds

Benson Farb·Peter Shalen
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Abstract

We prove that any real-analytic, volume-preserving action of a lattice $Γ$ in a simple Lie group with $\Qrank(Γ)\geq 7$ on a closed 4-manifold of nonzero Euler characteristic factors through a finite group action.

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Benson Farb, Peter Shalen. 2002-01-17. Real-analytic, volume-preserving actions of lattices on 4-manifolds. https://arxiv.org/abs/math/0201165

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