Combinatorial Seifert Fibred spaces with transitive cyclic automorphism group.
by Jonathan Spreer
Abstract: In combinatorial topology, we want to use combinatorial objects to describe manifolds such that their topological properties are reflected in the combinatorial structure of their representation. In this talk, I will present combinatorial versions of Seifert fibred spaces with transitive cyclic symmetry where the symmetries preserve the fibres and act non-trivially on the homology of the fibrations. The same construction also leads to combinatorial versions of all Brieskorn homology spheres \(\Sigma(p,q,r)\).