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  "body": "\n## Summary\n\nThe Kauffman bracket is a Laurent polynomial in one variable $A$ attached to an unoriented diagram of a [[link|1A5WRCNTM3]].\nIt is computed by smoothing every crossing in the two possible ways and counting the circles that result.\nIt is unchanged by the second and third [[Reidemeister moves|T3HAGWYKK7]] and changes by a simple factor under the first.\nAfter a correction by the writhe, it gives the [[Jones polynomial|4SPC17FPXE]].\n\n## Explanations\n\n### L1 human\n\nAt each crossing of a knot drawing you can cut and reconnect the strands in two ways, so that the crossing disappears.\nDoing this at every crossing leaves a set of disjoint circles.\nThe bracket adds up all the ways to do this, with a weight that depends on how many smoothings of each type you chose and how many circles you got.\nIt is a recipe that turns any diagram into a polynomial by simple counting.\n",
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