On the genus of RP3 x S1
- Autores: Fulvia Spaggiari
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 50, Fasc. 3, 1999, págs. 229-242
- Idioma: inglés
- Enlaces
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Resumen
We continue the topological classification of closed connected orientable 4-manifolds according to the (regular) genus, as developed in a series of papers (see [3], [4], [5]). In particular, we prove that any closed prime orientable PL 4-manifold of genus six is topologically homeomorphic to a lens-fiber bundle over the 1-sphere. There are good reasons to conjecture that the genus six characterizes the topological product $\mathbb{R}\mathbf{P}^3\times\mathbb{S}^1$ of the real projective 3-space by the 1-sphere among closed connected prime orientable 4-manifolds.
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