Smoothability of $\mathbb {Z}\times \mathbb {Z}$-actions on 4-manifolds
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- by Nobuhiro Nakamura PDF
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Abstract:
We construct a nonsmoothable $\mathbb Z\times \mathbb Z$-action on the connected sum of an Enriques surface and $S^2\times S^2$, such that each of the generators is smoothable. We also construct a nonsmoothable self-homeomorphism on an Enriques surface.References
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Additional Information
- Nobuhiro Nakamura
- Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan
- Email: nobuhiro@ms.u-tokyo.ac.jp
- Received by editor(s): February 23, 2009
- Received by editor(s) in revised form: November 22, 2009
- Published electronically: March 23, 2010
- Communicated by: Daniel Ruberman
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 2973-2978
- MSC (2010): Primary 57S05; Secondary 57M60, 57R57
- DOI: https://doi.org/10.1090/S0002-9939-10-10413-4
- MathSciNet review: 2644908