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

1995/09/27 by Garoufalidis, Stavros, Levine, Jerome
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9509028

Abstract

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).

Related

• On Finite Type 3-Manifold Invariants II
• Finite type invariants of 3-manifolds
• A universal finite type invariant of knots in homology 3-spheres
• Comparing finite type invariants of knots and integral homology 3-spheres
• Ohtsuki's Invariants are of Finite Type