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  "body": "\n## Summary\n\nA knot is a closed curve in three-dimensional space that does not cross itself, considered up to continuous deformation of the surrounding space.\nFormally it is an embedding of the [[circle|060W5CBZP6]] in $\\R^3$ or in the $3$-sphere.\nKnot theory asks when two knots are equivalent, and answers it with [[knot invariants|GZQ5ZE3X6G]] such as the [[knot group|AQVHM3FP0D]] and knot polynomials.\nKnots are also the basic examples in the study of [[3-manifolds|R20TB2KEQQ]].\n\n## Explanations\n\n### L1 human\n\nTake a piece of string, tie it in some way and then glue its two ends together.\nThe result is a knot: one can move it around in space, but one cannot pass the string through itself or cut it.\nA round circle is the [[unknot|1TQ06R4Q66]], the simplest knot.\nThe [[trefoil|VYTYSVHN4A]], with three crossings, is the simplest knot that cannot be undone.\n",
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