On Finite Type 3-Manifold Invariants II

Details On Finite Type 3-Manifold Invariants II On Finite Type 3-Manifold Invariants II

1995-06-12

arxiv.org/abs/q-alg/9506012v1

Mathematics

Quantum Algebra

28 pages, 15 figures, Uuencoded PostScript File

Scientific paper

This paper continues the study of finite-type invariants of homology spheres studied by Ohtsuki and Garoufalidis. We apply the surgery classification of links to give a diagrammatic description, using ideas of Ohtsuki. This uses a computation of the surgery equivalence classes of pure braids. We show that the order of any invariant, in Ohtsukis sense, is a multiple of 3. We also study the relation between the order of an invariant and that of the knot invariant it defines.

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