Hyperbolic Three-manifolds with Trivial Finite Type Invariants

  title={Hyperbolic Three-manifolds with Trivial Finite Type Invariants},
  author={Hitoshi Murakami},
We construct a hyperbolic three-manifold with trivial finite type invariants up to an arbitrarily given degree. The concept of finite type invariants for integral homology three-spheres was introduced by T. Ohtsuki in [10] including the Casson invariant [1] for the first non-trivial example. It attracts not only mathematicians but also physicists since it is closely related to E. Witten’s quantum invariants for three-manifolds [14] in the following way. It is proved by T.T.Q. Le [6] that the… CONTINUE READING