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Actions of SL(n,Z) on homology spheres

Kamlesh Parwani
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Abstract

Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2 homology sphere factors through a finite group action if r < n - 1. In particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere factors through a finite group action.

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Kamlesh Parwani. 2005-04-10. Actions of SL(n,Z) on homology spheres. https://arxiv.org/abs/math/0504189

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