Combinatorial 3-manifolds with a transitive cyclic automorphism group

Details Combinatorial 3-manifolds with a transitive cyclic automorphism group Combinatorial 3-manifolds with a transitive cyclic automorphism group

2011-12-05

arxiv.org/abs/1112.0940v2

Mathematics

Combinatorics

24 pages, 5 figures

Scientific paper

In this article we substantially extend the classification of combinatorial 3-manifolds with transitive cyclic automorphism group up to 22 vertices. Moreover, several combinatorial criteria are given to decide, whether a cyclic combinatorial d-manifold can be generalized to an infinite family of such complexes together with a construction principle in the case that such a family exist. In addition, a new infinite series of cyclic neighborly combinatorial lens spaces of infinitely many distinct topological types is presented.

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