I. A. Dynnikov, M. V. Prasolov, “Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions”, Trans. Moscow Math. Soc., 74 (2013), 97–144
D. P. Ilyutko, V. O. Manturov, I. M. Nikonov, “Parity in knot theory and graph-links”, Journal of Mathematical Sciences, 193:6 (2013), 809–965
A. V. Malyutin, “On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid”, St. Petersburg Math. J., 18:6 (2007), 1011–1020
I. A. Dynnikov, “Recognition algorithms in knot theory”, Russian Math. Surveys, 58:6 (2003), 1093–1139
V. V. Vershinin, “Braid groups and loop spaces”, Russian Math. Surveys, 54:2 (1999), 273–350
D. Bennequin, “Linkings and Pfaff's equations”, Russian Math. Surveys, 44:3 (1989), 1–65
G. S. Makanin, “On an analogue of the Alexander–Markov theorem”, Math. USSR-Izv., 34:1 (1990), 201–211