We classify all closed non-orientable P^2-irreducible 3-manifolds with complexity up to 7, fixing two mistakes in our previous complexity-up-to-6 classification. We show that there is no such manifold with complexity less than 6, five with complexity 6 (the four flat ones and the filled Gieseking manifold, which is of type Sol), and three with complexity 7 (one manifold of type Sol, and the two manifolds of type H^2×R with smallest base orbifolds).

Non-orientable 3-manifolds of complexity up to 7

AMENDOLA, GENNARO;
2005

Abstract

We classify all closed non-orientable P^2-irreducible 3-manifolds with complexity up to 7, fixing two mistakes in our previous complexity-up-to-6 classification. We show that there is no such manifold with complexity less than 6, five with complexity 6 (the four flat ones and the filled Gieseking manifold, which is of type Sol), and three with complexity 7 (one manifold of type Sol, and the two manifolds of type H^2×R with smallest base orbifolds).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11389/1388
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