dorsal/arxiv
View SchemaVassiliev knot invariants and Chern-Simons perturbation theory to all orders
| Authors | Daniel Altschuler, Laurent Freidel |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9603010 |
| URL | https://arxiv.org/abs/q-alg/9603010 |
| DOI | 10.1007/s002200050136 |
| Journal | Commun.Math.Phys. 187 (1997) 261-287 |
Abstract
At any order, the perturbative expansion of the expectation values of Wilson lines in Chern-Simons theory gives certain integral expressions. We show that they all lead to knot invariants. Moreover these are finite type invariants whose order coincides with the order in the perturbative expansion. Together they combine to give a universal Vassiliev invariant.
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"abstract": "At any order, the perturbative expansion of the expectation values of Wilson\nlines in Chern-Simons theory gives certain integral expressions. We show that\nthey all lead to knot invariants. Moreover these are finite type invariants\nwhose order coincides with the order in the perturbative expansion. Together\nthey combine to give a universal Vassiliev invariant.",
"arxiv_id": "q-alg/9603010",
"authors": [
"Daniel Altschuler",
"Laurent Freidel"
],
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"q-alg",
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"doi": "10.1007/s002200050136",
"journal_ref": "Commun.Math.Phys. 187 (1997) 261-287",
"title": "Vassiliev knot invariants and Chern-Simons perturbation theory to all orders",
"url": "https://arxiv.org/abs/q-alg/9603010"
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