Non-orientable 3-manifolds of complexity up to 7

Details Non-orientable 3-manifolds of complexity up to 7 Non-orientable 3-manifolds of complexity up to 7

2003-12-17

arxiv.org/abs/math/0312329v1

Topology Appl. 150 (2005), 179-195

Mathematics

Geometric Topology

20 pages, 10 figures, 2 tables

Scientific paper

We classify all closed non-orientable P2-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 filling of the Gieseking manifold, which is of type Sol, and three with complexity 7 (one manifold of type Sol, and the two manifolds of type H2xR with smallest base orbifolds).

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