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State models and the Jones polynomial. (English) Zbl 0622.57004
Using a method of ”state models” for calculating the Jones polynomial of a link, the author proves the topological invariance of the number of crossings in a simple alternating projection of an alternating knot. Among other things he also gives necessary conditions for an oriented alternating link to be ambient isotopic to its mirror image.
Reviewer: L.Neuwirth

##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010) 46L10 General theory of von Neumann algebras
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