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  "body": "\n## Summary\n\nThe Kontsevich integral is a [[knot invariant|GZQ5ZE3X6G]] with values in a completed algebra of chord diagrams.\nMaxim Kontsevich defined it by an iterated integral of logarithmic forms.\nIt is the universal rational [[finite type invariant|TWH3WVKFF1]]: every such invariant is obtained from it by a linear map.\nIt ties knot theory to quantum groups and to the theory of Drinfeld associators.\n\n## Explanations\n\n### L1 human\n\nPlace a knot in space and slice it by horizontal planes.\nEach slice meets the knot in finitely many points, which move as the plane goes up.\nThe Kontsevich integral records how these points wind around each other, using chords that join pairs of them.\nThe output is not a number but a formal sum of chord diagrams, circles with chords drawn inside.\nFrom this one object, every rational finite type invariant can be read off.\n",
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