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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 1 | Source: arXiv Dataset IDs (Model)

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

Authors	Stavros Garoufalidis, Jerome Levine
Categories	q-alg math.QA
ArXiv ID	q-alg/9509028
URL	https://arxiv.org/abs/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).

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    "abstract": "This paper compares the definitions of finite-type invariants due to Ohtsuki\nand to Garoufalidis, showing that, residually, type 3m of the former equals\ntype m of the latter. It also shows that type 2m Ohtsuki invariants define knot\ninvariants of type 3m (first proved by Habegger).",
    "arxiv_id": "q-alg/9509028",
    "authors": [
      "Stavros Garoufalidis",
      "Jerome Levine"
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    "title": "On Finite Type 3-manifold invariants IV: Comparison of Definitions",
    "url": "https://arxiv.org/abs/q-alg/9509028"
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