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On Finite Type 3-Manifold Invariants II
- Publication Year :
- 1995
- Publisher :
- arXiv, 1995.
-
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.<br />Comment: 28 pages, 15 figures, Uuencoded PostScript File
- Subjects :
- Discrete mathematics
Pure mathematics
General Mathematics
Order (ring theory)
Type (model theory)
Homology (mathematics)
Mathematics::Geometric Topology
Finite type invariant
Knot invariant
Mathematics::Quantum Algebra
Mathematics - Quantum Algebra
Braid
FOS: Mathematics
Quantum Algebra (math.QA)
Invariant (mathematics)
3-manifold
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....640e003e20198508850f051215c443fd
- Full Text :
- https://doi.org/10.48550/arxiv.q-alg/9506012