We classify all closed non-orientable P²-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 H²xS¹, manifolds of type Sol, and manifolds with non-trivial JSJ decomposition.
Amendola, G., & Martelli, B. (2003). Non-orientable 3-manifolds of small complexity. TOPOLOGY AND ITS APPLICATIONS, 133(2), 157-178 [10.1016/S0166-8641(03)00043-9].
Citazione: | Amendola, G., & Martelli, B. (2003). Non-orientable 3-manifolds of small complexity. TOPOLOGY AND ITS APPLICATIONS, 133(2), 157-178 [10.1016/S0166-8641(03)00043-9]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Titolo: | Non-orientable 3-manifolds of small complexity | |
Autori: | Amendola, G; Martelli, B | |
Autori: | ||
Data di pubblicazione: | 2003 | |
Lingua: | English | |
Rivista: | TOPOLOGY AND ITS APPLICATIONS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/S0166-8641(03)00043-9 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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