@article{VMUMM_2022_6_a8,
author = {D. P. Ilyutko and I. M. Nikonov},
title = {Weighted systems of framed chord diagrams corresponding to {Lie} algebras},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {60--64},
year = {2022},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a8/}
}
TY - JOUR AU - D. P. Ilyutko AU - I. M. Nikonov TI - Weighted systems of framed chord diagrams corresponding to Lie algebras JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2022 SP - 60 EP - 64 IS - 6 UR - http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a8/ LA - ru ID - VMUMM_2022_6_a8 ER -
D. P. Ilyutko; I. M. Nikonov. Weighted systems of framed chord diagrams corresponding to Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 60-64. http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a8/
[1] Bar-Natan D., “On the Vassiliev knot invariants”, Topology, 34 (1995), 423–472 | DOI | MR
[2] Chmutov S. V., Duzhin S., Mostovoy J., Introduction to Vassiliev knot invariants, Cambridge University Press, Cambridge, 2012 | MR
[3] Arnold V. I., “Topological invariants of plane curves and caustics”, Univ. Lect. Ser. 5, 1994, Amer. Math. Soc., Providence, RI | DOI | MR
[4] Arnold V. I., “Plane curves, their invariants, perestroikas and classifications”, Singularities and Bifurcations, Adv. Sov. Math., 21, Amer. Math. Soc., Providence, RI, 1994, 33–91 | MR
[5] Lando S. K., “$J$-invarianty ornamentov i osnaschennye khordovye diagrammy”, Funkts. analiz i ego pril., 40:1 (2006), 1–13 | MR
[6] Goryunov V. V., “Finite order invariants of framed knots in a solid torus and in Arnold's $(J+)$-theory of plane curves”, Geometry and Physics, Lect. Notes Pure and Appl. Math., 184, eds. J.E. Andersen, J. Dupont, H. Pedersen, A. Swann, Marcel Dekker, Inc., N. Y.–Basel–Hong Kong, 1997, 549–556 | MR
[7] Ilyutko D. P., Manturov V. O., “A parity map of framed chord diagrams”, J. Knot Theory and Its Ramifications, 24:13 (2015), 1541006, 15 pp. | DOI | MR
[8] Karev M., “The space of framed chord diagrams as a Hopf module”, J. Knot Theory and Its Ramifications, 24:3 (2015), 1550014, 17 pp. | DOI | MR