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Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 101, Issue 12, Pages 931–934 (Mi jetpl4663)  

This article is cited in 18 scientific papers (total in 18 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

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.

DOI: https://doi.org/10.7868/S0370274X15120115

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English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 101:12, 831–834

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Received: 30.04.2015
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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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\by Ya.~Kononov, A.~Morozov
\paper On the defect and stability of differential expansion
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2015
\vol 101
\issue 12
\pages 931--934
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\crossref{https://doi.org/10.7868/S0370274X15120115}
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\jour JETP Letters
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\vol 101
\issue 12
\pages 831--834
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Kononov Ya. Morozov A., J. High Energy Phys., 2015, no. 11, 151  crossref  mathscinet  zmath  isi  elib  scopus
    2. A. Yu. Morozov, Theoret. and Math. Phys., 187:1 (2016), 447–454  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Kononov Ya., Morozov A., Mod. Phys. Lett. A, 31:38 (2016), 1650223  crossref  mathscinet  zmath  isi  elib  scopus
    4. Morozov A., Nucl. Phys. B, 911 (2016), 582–605  crossref  zmath  isi  elib  scopus
    5. Mironov A., Morozov A., Morozov A., Sleptsov A., J. High Energy Phys., 2016, no. 9, 134  crossref  mathscinet  zmath  isi  scopus
    6. Morozov A., J. High Energy Phys., 2016, no. 9, 135  crossref  mathscinet  zmath  isi  scopus
    7. Mironov A., Morozov A., Morozov A., Sleptsov A., Phys. Lett. B, 760 (2016), 45–58  crossref  isi  elib  scopus
    8. Mironov A. Mkrtchyan R. Morozov A., J. High Energy Phys., 2016, no. 2, 078  crossref  mathscinet  isi  scopus
    9. A. Morozov, Phys. Lett. B, 766 (2017), 291–300  crossref  isi  scopus
    10. A. Yu. Morozov, A. A. Morozov, A. V. Popolitov, Theoret. and Math. Phys., 192:1 (2017), 1039–1079  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    11. Ya. A. Kononov, A. Yu. Morozov, Theoret. and Math. Phys., 193:2 (2017), 1630–1646  mathnet  crossref  crossref  adsnasa  isi  elib
    12. A. Mironov, A. Morozov, A. Morozov, P. Ramadevi, V. K. Singh, A. Sleptsov, J. High Energy Phys., 2017, no. 8, 139  crossref  mathscinet  zmath  isi  scopus
    13. C. Bai, J. Jiang, J. Liang, A. Mironov, A. Morozov, A. Morozov, A. Sleptsov, Phys. Lett. B, 778 (2018), 197–206  crossref  zmath  isi  scopus
    14. A. Morozov, Phys. Lett. B, 778 (2018), 426–434  crossref  zmath  isi  scopus
    15. A. Anokhina, A. Morozov, J. High Energy Phys., 2018, no. 4, 066  crossref  mathscinet  isi  scopus
    16. A. Morozov, Phys. Lett. B, 782 (2018), 104–111  crossref  mathscinet  isi  scopus
    17. A. Morozov, Mod. Phys. Lett. A, 33:12 (2018), 1850062  crossref  mathscinet  zmath  isi  scopus
    18. A. Anokhina, Int. J. Mod. Phys. A, 33:36 (2018), 1850221  crossref  zmath  isi  scopus
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