# Combinatorial Seifert Fibred spaces with transitive cyclic automorphism group.

Algebra/Geometry/Topology Seminar

#### by Jonathan Spreer

Institution: University of Queensland
Date: Thu 21st February 2013
Time: 3:15 PM
Location: 213 Richard Berry

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 $$\Sigma(p,q,r)$$.