The Jones polynomial is an invariant of a knot or link, introduced by mathematician Vaughan Jones in 1984. It is a powerful tool in knot theory that provides a polynomial invariant, assigning to each oriented knot or link a polynomial with integer coefficients. The Jones polynomial \( V(L, t) \) is defined using a specific state-sum formula based on a diagram of the knot or link.
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The Jones polynomial is obtained from the Kauffman bracket of an oriented diagram by the writhe normalization