3-manifold invariants and periodicity of homology spheres
  We show how the periodicity of a homology sphere is reflected in the Reshetikhin-Turaev-Witten invariants of the manifold. These yield a criterion for the periodicity of a homology sphere. 
Patrick M. Gilmer, Joanna Kania-Bartoszynska, Jozef H. Przytycki