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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2015, Volume 101, Issue 12, Pages 931–934
DOI: https://doi.org/10.7868/S0370274X15120115 (Mi jetpl4663) 		 
This article is cited in 30 scientific papers (total in 30 papers)

METHODS OF THEORETICAL PHYSICS

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
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DOI: https://doi.org/10.7868/S0370274X15120115
Abstract: 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.
Received: 30.04.2015
English version:
Journal of Experimental and Theoretical Physics Letters, 2015, Volume 101, Issue 12, Pages 831–834
DOI: https://doi.org/10.1134/S0021364015120127
Bibliographic databases:
Document Type: Article
Language: English
Citation: Ya. Kononov, A. Morozov, “On the defect and stability of differential expansion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:12 (2015), 931–934; JETP Letters, 101:12 (2015), 831–834
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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