First non-zero terms for the Taylor expansion at 1 of the Conway potential function
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| Publication date | 2011 |
| Journal | Moscow University Mathematics Bulletin |
| Volume | Issue number | 66 | 1 |
| Pages (from-to) | 41-43 |
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| Abstract |
The Conway potential function ∇ L (t 1,...,t l ) of an ordered oriented link L = L 1 ∪ L 2 ∪ ... ∪ L l ⊂ S 3 is considered. In general, this function is not determined by the linking numbers and the Conway potential functions of the components. However, the first two nonzero terms of the Taylor expansion at the point 1 of the function ∇ L are determined by the linking numbers only. We give the explicit formulas for these terms using summation over trees with l vertices. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.3103/S0027132211010086 |
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