On Finite Type 3-manifold invariants IV: Comparison of Definitions

Details On Finite Type 3-manifold invariants IV: Comparison of Definitions On Finite Type 3-manifold invariants IV: Comparison of Definitions

1995-09-27

arxiv.org/abs/q-alg/9509028v2

Mathematics

Quantum Algebra

13 pages, Postscript

Scientific paper

This paper compares the definitions of finite-type invariants due to Ohtsuki
and to Garoufalidis, showing that, residually, type 3m of the former equals
type m of the latter. It also shows that type 2m Ohtsuki invariants define knot
invariants of type 3m (first proved by Habegger).

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