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Статья

On the defect and stability of differential expansion

JETP Letters. 2015. Vol. 101. No. 12. P. 831-834.
Kononov Y., Morozov A.

Empirical analysis of many colored knot polynomials, made possible by recent computational advances in Chern–Simons theory, reveals their stability: for any given negative N and any given knot the set of coefficients of the polynomial in rth symmetric representation does not change with r, if it is large enough. This fact reflects the non-trivial and previously unknown properties of the differential expansion, and it turns out that from this point of view there are universality classes of knots, characterized by a single integer, which we call defect, and which is in fact related to the power of Alexander polynomial. © 2015, Pleiades Publishing, Inc.