A filtration of the set of integral homological 3-spheres (Q1126771)
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scientific article; zbMATH DE number 1184325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A filtration of the set of integral homological 3-spheres |
scientific article; zbMATH DE number 1184325 |
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A filtration of the set of integral homological 3-spheres (English)
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6 August 1998
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The author reviews the Kontsevich and Vassiliev invariants for \(3\)-manifolds and discusses a universal perturbative invariant, the LMO invariant. This invariant can be expressed as the exponential of a linear sum of connected web diagrams and is universal among perturbative and finite type invariants. Two integral homology spheres are defined to be \(d\)-equivalent if all their finite type invariants of degree \(<d\) agree. This induces a filtration on the sets of equivalence classes of \(\mathbb Z\)-homology spheres.
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Kontsevich invariant
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Vassiliev invariant
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homology spheres
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universal invariant
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LMO invariant
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0.93738127
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0.9246188
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0.8878563
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0.8871974
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0.8864937
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