dorsal/arxiv
View SchemaWheels, Wheeling, and the Kontsevich Integral of the Unknot
| Authors | Dror Bar-Natan, Stavros Garoufalidis, Lev Rozansky, Dylan P. Thurston |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703025 |
| URL | https://arxiv.org/abs/q-alg/9703025 |
Abstract
We conjecture an exact formula for the Kontsevich integral of the unknot, and also conjecture a formula (also conjectured independently by Deligne) for the relation between the two natural products on the space of Chinese characters. The two formulas use the related notions of "Wheels" and "Wheeling". We prove these formulas "on the level of Lie algebras" using standard techniques from the theory of Vassiliev invariants and the theory of Lie algebras.
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"date_created": "2026-03-02T18:01:28.516000Z",
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"abstract": "We conjecture an exact formula for the Kontsevich integral of the unknot, and\nalso conjecture a formula (also conjectured independently by Deligne) for the\nrelation between the two natural products on the space of Chinese characters.\nThe two formulas use the related notions of \"Wheels\" and \"Wheeling\". We prove\nthese formulas \"on the level of Lie algebras\" using standard techniques from\nthe theory of Vassiliev invariants and the theory of Lie algebras.",
"arxiv_id": "q-alg/9703025",
"authors": [
"Dror Bar-Natan",
"Stavros Garoufalidis",
"Lev Rozansky",
"Dylan P. Thurston"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Wheels, Wheeling, and the Kontsevich Integral of the Unknot",
"url": "https://arxiv.org/abs/q-alg/9703025"
},
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