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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Toral actions on $ 5$-manifolds


Author: Hae Soo Oh
Journal: Trans. Amer. Math. Soc. 278 (1983), 233-252
MSC: Primary 57S15; Secondary 57S25
MathSciNet review: 697072
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Abstract: We are mainly concerned with closed orientable manifolds of dimension $ 5$ supporting effective three-dimensional torus actions. We obtain a complete classification of simply-connected manifolds of this type and a partial classification for the nonsimply-connected case.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0697072-0
PII: S 0002-9947(1983)0697072-0
Keywords: Cross-sectioning theorem, equivariant surgery, connected sum, Stiefel-Whitney class, orbit type
Article copyright: © Copyright 1983 American Mathematical Society