Les invariants \(\theta_p\) des 3-variétés périodiques. (The \(\theta_p\) invariants of periodic 3-manifolds) (Q5944306)

The author computes \(\theta_p\) invariants, introduced by \textit{C. Blanchet, N. Habegger, G. Masbaum} and \textit{P. Vogel} [Topology 31, No. 4, 685-699 (1992; Zbl 0771.57004)], for \(r\)-periodic 3-manifolds. Where an \(r\)-periodic 3-manifold means that the cyclic group \(\mathbb{Z}/_{r\mathbb{Z}}\) acts differentially on the 3-manifold and the set of fixed points is a circle. This result shows that \(\theta_p\) invariants are dependent on the geometry of the 3-manifolds.