Smoothability of Z\times Z-actions on 4-manifolds

Details Smoothability of Z\times Z-actions on 4-manifolds Smoothability of Z\times Z-actions on 4-manifolds

2009-02-18

arxiv.org/abs/0902.3172v2

Proc. Amer. Math. Soc. 138 (2010), no. 8, 2973-2978

Mathematics

Geometric Topology

6 pages

Scientific paper

We construct a nonsmoothable Z\times Z-action on the connected sum of an
Enriques surface and S^2\times S^2, such that each of generators is smoothable.
We also construct a nonsmoothable self-homeomorphism on an Enriques surface.

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