Quantum Invariants of Periodic Links and Periodic 3-Manifolds

Abstract

We give criteria for framed links and 3-manifolds to be periodic of prime order. As applications we show that the Poincare sphere is of periodicity 2, 3, 5 only and the Brieskorn sphere (2,3,7) is of periodicity 2, 3, 7 only.

18 pages with 1 figure