English

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

Geometric Topology 2010-09-20 v2

Abstract

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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Cite

@article{arxiv.0902.3172,
  title  = {Smoothability of Z\times Z-actions on 4-manifolds},
  author = {Nobuhiro Nakamura},
  journal= {arXiv preprint arXiv:0902.3172},
  year   = {2010}
}

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6 pages