Non-orientable 3-manifolds of complexity up to 7
Geometric Topology
2011-09-06 v1
Abstract
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).
Cite
@article{arxiv.math/0312329,
title = {Non-orientable 3-manifolds of complexity up to 7},
author = {Gennaro Amendola and Bruno Martelli},
journal= {arXiv preprint arXiv:math/0312329},
year = {2011}
}
Comments
20 pages, 10 figures, 2 tables