We classify all closed non-orientable P^2-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such manifold with complexity less than 6, and that those having complexity 6 are precisely the 4 flat non-orientable ones. The manifolds having complexity 7 we describe are Seifert manifolds of type H^2×S^1, manifolds of type Sol, and manifolds with non-trivial JSJ decomposition.

Non-orientable 3-manifolds of small complexity

AMENDOLA, GENNARO;
2003

Abstract

We classify all closed non-orientable P^2-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such manifold with complexity less than 6, and that those having complexity 6 are precisely the 4 flat non-orientable ones. The manifolds having complexity 7 we describe are Seifert manifolds of type H^2×S^1, manifolds of type Sol, and manifolds with non-trivial JSJ decomposition.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11389/1110
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