State models and the Jones polynomial
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.
topological invariance of the number of crossings
scientific article; zbMATH DE number 4009331