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A combinatorial characterization of $ S\sp 3\times S\sp 1$ among closed $ 4$-manifolds

Author: Alberto Cavicchioli
Journal: Proc. Amer. Math. Soc. 105 (1989), 1008-1014
MSC: Primary 57N13; Secondary 57M15, 57Q05, 57Q15
MathSciNet review: 931726
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Abstract: The topological product $ {S^3} \times {S^1}$ is proved to be the unique closed connected $ 4$-manifold of regular genus one. As a consequence, the complex projective plane $ C{P^2}$ has regular genus two.

References [Enhancements On Off] (What's this?)

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Additional Information

Keywords: PL-manifold, contracted triangulation, pseudocomplex, multigraph, edge-coloured graph, $ 2$-cell imbedding, crystallization, regular genus
Article copyright: © Copyright 1989 American Mathematical Society

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