@inproceedings{Murakami1999HyperbolicTW, title={Hyperbolic Three-manifolds with Trivial Finite Type Invariants}, author={Hitoshi Murakami}, year={1999} }

- Published 1999

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

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