Identification of certain $4$-manifolds with group actions
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- by Ronald Fintushel and Peter Sie Pao PDF
- Proc. Amer. Math. Soc. 67 (1977), 344-350 Request permission
Abstract:
If ${M^3}$ is an orientable 3-manifold with an ${S^1}$-action or is a Seifert fiber space, then the 4-manifold obtained by surgery along singular fibers in $M \times {S^1}$ can also be obtained by surgery in ${V^3} \times {S^1}$, where V is a manifold related to M but with fewer singular fibers. An application is given to Scharlemann’s “exotic” $({S^3} \times {S^1}\;\# \;{S^2} \times {S^2})$’s.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 344-350
- MSC: Primary 57E25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0501042-5
- MathSciNet review: 0501042