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Письма в Журнал экспериментальной и теоретической физики, 2015, том 101, выпуск 12, страницы 931–934 DOI: https://doi.org/10.7868/S0370274X15120115
(Mi jetpl4663)
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Эта публикация цитируется в 30 научных статьях (всего в 30 статьях)
МЕТОДЫ ТЕОРЕТИЧЕСКОЙ ФИЗИКИ
On the defect and stability of differential expansion
Ya. Kononova, A. Morozovbcd a Higher School of Economics, Math Department, 117312 Moscow, Russia
b Institute for Information Transmission Problems, 127994 Moscow, Russia
c National Research Nuclear University "MEPhI", 15409 Moscow 1, Russia
d Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
DOI:
https://doi.org/10.7868/S0370274X15120115
Аннотация:
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 $r$-th 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.
Поступила в редакцию: 30.04.2015
Образец цитирования:
Ya. Kononov, A. Morozov, “On the defect and stability of differential expansion”, Письма в ЖЭТФ, 101:12 (2015), 931–934; JETP Letters, 101:12 (2015), 831–834
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl4663 https://www.mathnet.ru/rus/jetpl/v101/i12/p931
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