The topological product S^3 x S^1 is proved to be the unique closed connected 4-manifold of regular genus one. As a consequence, the complex projective plane has regular genus two.
The topological product S3 × S1 is proved to be the unique closed connected 4-manifold of regular genus one. As a consequence, the complex projective plane CP2 has regular genus two. © 1989 American Mathematical Society.
A combinatorial characterization of S^3 x S^1 among closed 4-manifolds / Cavicchioli, Alberto. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 105 (4):4(1989), pp. 1008-1014. [10.1090/S0002-9939-1989-0931726-4]
A combinatorial characterization of S^3 x S^1 among closed 4-manifolds
CAVICCHIOLI, Alberto
1989
Abstract
The topological product S3 × S1 is proved to be the unique closed connected 4-manifold of regular genus one. As a consequence, the complex projective plane CP2 has regular genus two. © 1989 American Mathematical Society.
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