Combinatorial 3-manifolds with a transitive cyclic automorphism group
Jonathan Spreer · arXiv (Cornell University) · 2011
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.