dorsal/arxiv
View SchemaOn Finite Type 3-Manifold Invariants II
| Authors | Stavros Garoufalidis, Jerome Levine |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506012 |
| URL | https://arxiv.org/abs/q-alg/9506012 |
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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"abstract": "This paper continues the study of finite-type invariants of homology spheres\nstudied by Ohtsuki and Garoufalidis. We apply the surgery classification of\nlinks to give a diagrammatic description, using ideas of Ohtsuki. This uses a\ncomputation of the surgery equivalence classes of pure braids. We show that the\norder of any invariant, in Ohtsukis sense, is a multiple of 3. We also study\nthe relation between the order of an invariant and that of the knot invariant\nit defines.",
"arxiv_id": "q-alg/9506012",
"authors": [
"Stavros Garoufalidis",
"Jerome Levine"
],
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"title": "On Finite Type 3-Manifold Invariants II",
"url": "https://arxiv.org/abs/q-alg/9506012"
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