We continue the topological classification of closed connected orientable 4-manifolds according to the (regular) genus. 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 RP^3 X S^1 of the real projective 3-space by the 1-sphere among closed connected prime orientable 4-manifolds.

On the genus of RP^3 X S^1 / Spaggiari, Fulvia. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - STAMPA. - 50:(1999), pp. 229-241.

On the genus of RP^3 X S^1

SPAGGIARI, Fulvia
1999

Abstract

We continue the topological classification of closed connected orientable 4-manifolds according to the (regular) genus. 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 RP^3 X S^1 of the real projective 3-space by the 1-sphere among closed connected prime orientable 4-manifolds.
50
229
241
On the genus of RP^3 X S^1 / Spaggiari, Fulvia. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - STAMPA. - 50:(1999), pp. 229-241.
Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/459022
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