On Finite Type 3-Manifold Invariants II

1995/06/12 by Stavros Garoufalidis, Garoufalidis, Stavros, Jerome Levine +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9506012

openalex publication_date 1995/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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