The Ip Quantum Invariant of Periodic 3-Manifolds

Abstract

We use the periodicity of the Jones polynomial introduced first by Murasugi to give a congruence that relates the invariant of a periodic 3-manifold and the corresponding invariant of its orbit 3-manifold. This would provide a criterion for the periodicity of 3-manifolds.

Key words and phrases. periodic 3-manifolds, group action, quantum invariant.

2000 Mathematics Subject Classification. 57M27