On Some Restrictions to the Values of the Jones Polynomial
نویسنده
چکیده
We prove a relation in the algebra of the Jones Vassiliev invariants, giving a new restriction to the values of the Jones polynomial on knots, and the non-existence of another family of such relations. We prove, that Jones polynomials of positive knots have non-negative minimal degree and extend this result to k-almost positive knots. We prove that if a positive knot is alternating, then all its alternating diagrams are positive.
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