Comparing finite type invariants of knots and integral homology 3-spheres

Details Comparing finite type invariants of knots and integral homology 3-spheres Comparing finite type invariants of knots and integral homology 3-spheres

1996-02-08

arxiv.org/abs/q-alg/9602017v2

Mathematics

Quantum Algebra

Scientific paper

Using elementary counting methods of weight systems for finite type
invariants of knots and integral homology 3-spheres, in the spirit of [B-NG],
we answer positively three questions raised in [Ga]. In particular, we exhibit
a one-to-one map from the space of finite type invariants of integral homology
3-spheres to the space of finite type invariants of knots in $S^3$.

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