V.O. Manturov, I.M. Nikonov, “On Braids and Groups $G_{n}^{k}$”, Journal of Knot Theory and Its Ramifications, 24:10 (2015), 16 pp.
V.O. Manturov, “Chetnost v teorii uzlov”, V state polozhena osnova teorii chetnosti v malomernoi topologii, Maematicheskii sbornik, 201:5 (2010), 65–110
V. O. Manturov, “Invariants of classical braids valued in $G_{n}^{2}$”, Fundam. Prikl. Mat., 22:4 (2019), 137–146
2.
V. O. Manturov, D. A. Fedoseev, “A sliceness criterion for odd free knots”, Mat. Sb., 210:10 (2019), 161–178; Sb. Math., 210:10 (2019), 1493–1509
2017
3.
V. O. Manturov, “The groups $G_n^2$ and Coxeter groups”, Uspekhi Mat. Nauk, 72:2(434) (2017), 193–194; Russian Math. Surveys, 72:2 (2017), 378–380
2013
4.
V. O. Manturov, “On the chromatic numbers of integer and rational lattices”, CMFD, 51 (2013), 110–122; Journal of Mathematical Sciences, 214:5 (2016), 687–698
5.
V. O. Manturov, D. A. Fedoseev, “Invariants of homotopy classes of curves and graphs on $2$-surfaces”, Fundam. Prikl. Mat., 18:4 (2013), 89–105; J. Math. Sci., 206:6 (2015), 668–678
2012
6.
V. O. Manturov, “Четырехвалентные графы с крестовой структурой. Вложения в двумерные поверхности”, Mat. Pros., Ser. 3, 16 (2012), 94–104
7.
V. O. Manturov, “Parity and cobordism of free knots”, Mat. Sb., 203:2 (2012), 45–76; Sb. Math., 203:2 (2012), 196–223
2011
8.
D. P. Ilyutko, V. O. Manturov, I. M. Nikonov, “Parity in knot theory and graph-links”, CMFD, 41 (2011), 3–163; Journal of Mathematical Sciences, 193:6 (2013), 809–965
9.
V. O. Manturov, “Parity, free knots, groups, and invariants of finite type”, Tr. Mosk. Mat. Obs., 72:2 (2011), 207–222; Trans. Moscow Math. Soc., 72 (2011), 157–169
10.
V. O. Manturov, “Четырехвалентные графы с крестовой структурой”, Mat. Pros., Ser. 3, 15 (2011), 128–137
2010
11.
V. O. Manturov, “Экскурс в теорию кос”, Mat. Pros., Ser. 3, 14 (2010), 107–142
12.
V. O. Manturov, “Parity in knot theory”, Mat. Sb., 201:5 (2010), 65–110; Sb. Math., 201:5 (2010), 693–733
2009
13.
V. O. Manturov, “Embeddings of 4-valent framed graphs into 2-surfaces”, Dokl. Akad. Nauk, 424:3 (2009), 308–310; Dokl. Math., 79:1 (2009), 56–58
14.
M. V. Zenkina, V. O. Manturov, “An invariant of links in a thickened torus”, Zap. Nauchn. Sem. POMI, 372 (2009), 5–18; J. Math. Sci. (N. Y.), 175:5 (2011), 501–508
2007
15.
V. O. Manturov, “Khovanov homology for virtual knots with arbitrary coefficients”, Izv. RAN. Ser. Mat., 71:5 (2007), 111–148; Izv. Math., 71:5 (2007), 967–999
2006
16.
L. H. Kaufman, V. O. Manturov, “Virtual Knots and Links”, Tr. Mat. Inst. Steklova, 252 (2006), 114–133; Proc. Steklov Inst. Math., 252 (2006), 104–121
2005
17.
V. O. Manturov, “The Khovanov complex for virtual links”, Fundam. Prikl. Mat., 11:4 (2005), 127–152; J. Math. Sci., 144:5 (2007), 4451–4467
18.
V. O. Manturov, “A proof of Vassiliev's conjecture on the planarity of singular links”, Izv. RAN. Ser. Mat., 69:5 (2005), 169–178; Izv. Math., 69:5 (2005), 1025–1033
2003
19.
V. O. Manturov, “On recognition of virtual braids”, Zap. Nauchn. Sem. POMI, 299 (2003), 267–286; J. Math. Sci. (N. Y.), 131:1 (2005), 5409–5419
2002
20.
V. O. Manturov, “Invariant two-variable polynomials for virtual links”, Uspekhi Mat. Nauk, 57:5(347) (2002), 141–142; Russian Math. Surveys, 57:5 (2002), 997–998
21.
V. O. Manturov, “Locally minimal nets on two-dimensional surfaces of negative curvature with several singularities”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, 2, 27–31
2001
22.
V. O. Manturov, “Maximally symmetric atoms and matrix groups of second order”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, 2, 11–16
2000
23.
V. O. Manturov, “On closedness of curves with periodic curvature”, Fundam. Prikl. Mat., 6:2 (2000), 477–483
24.
V. O. Manturov, “The bracket semigroup of knots”, Mat. Zametki, 67:4 (2000), 549–562; Math. Notes, 67:4 (2000), 468–478
25.
V. O. Manturov, “Bifurcations, atoms and knots”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 1, 3–8
26.
V. O. Manturov, “Chord diagrams, $d$-diagrams, and knots”, Zap. Nauchn. Sem. POMI, 267 (2000), 170–194; J. Math. Sci. (N. Y.), 113:6 (2003), 827–840
Presentations in Math-Net.Ru
1.
On 3-free links V. O. Manturov, D. A. Fedoseev, S. Kim Mathematical Colloquium of the Bauman Moscow State Technical University May 21, 2020 17:30
Нерейдемейстеровские теории узлов и кос V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS December 28, 2016 14:00
Группы G_{n}^{k} и теория узлов V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS June 29, 2016 14:00
Инварианты и картинки V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS August 12, 2015 14:00
Гомологии Хованова V. O. Manturov Meetings of the Moscow Mathematical Society November 30, 2010 18:30
43.
Узлы, виртуальные узлы и алгебры Ли V. O. Manturov Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov March 21, 2003 18:30
44.
О проблеме тождеств в группе кос V. O. Manturov Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov February 22, 2002 18:30