Persons: Manturov, Vassily Olegovich

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Manturov, Vassily Olegovich

Statistics Math-Net.Ru
Total publications:	28
Scientific articles:	28
Presentations:	56

Number of views:
This page:	9265
Abstract pages:	12693
Full texts:	6246
References:	1157

Professor of Russian Academy of Sciences

Doctor of physico-mathematical sciences (2008)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

25.05.1979

E-mail:

Keywords:

knot, graph, group, manifold, combinatorics, dynamics

UDC:

512.81, 514.753.32, 515, 515.1, 515.14, 515.16, 515.162, 515.162.8, 519.1, 519.17

MSC:

57M25, 57M27, 22Exx, 05Cxx, 57M25

Subject:

knot theory, graph theory, topology

Main publications:

V.O. Manturov, D.A. Fedoseev, S. Kim, I.M. Nikonov, “On groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$: A study of manifolds, dynamics, and invariants”, Bulletin of Mathematical Sciences, 11:02 (2021), 2150004
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, Matematicheskii sbornik, 201:5 (2010), 65–110

https://www.mathnet.ru/eng/person12253

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/662322

Full list of publications:

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	Publications in Math-Net.Ru	Citations
	2024
1.	V. O. Manturov, I. M. Nikonov, “Maps from knots in the cylinder to flat-virtual knots”, Uspekhi Mat. Nauk, 79:2(476) (2024), 187–188 ; Russian Math. Surveys, 79:2 (2024), 366–368
	2023
2.	V. O. Manturov, I. M. Nikonov, “Maps to virtual braids and braid representations”, Uspekhi Mat. Nauk, 78:2(470) (2023), 193–194 ; Russian Math. Surveys, 78:2 (2023), 393–395
	2019
3.	V. O. Manturov, “Invariants of classical braids valued in $G_{n}^{2}$”, Fundam. Prikl. Mat., 22:4 (2019), 137–146 ; J. Math. Sci., 257:6 (2021), 839–845
4.	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	1
	2017
5.	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	7
	2013
6.	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	2
7.	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	2
	2012
8.	V. O. Manturov, “Четырехвалентные графы с крестовой структурой. Вложения в двумерные поверхности”, Mat. Pros., Ser. 3, 16 (2012), 94–104
9.	V. O. Manturov, “Parity and cobordism of free knots”, Mat. Sb., 203:2 (2012), 45–76 ; Sb. Math., 203:2 (2012), 196–223	29
	2011
10.	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	19
11.	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	7
12.	V. O. Manturov, “Четырехвалентные графы с крестовой структурой”, Mat. Pros., Ser. 3, 15 (2011), 128–137
	2010
13.	V. O. Manturov, “Экскурс в теорию кос”, Mat. Pros., Ser. 3, 14 (2010), 107–142
14.	V. O. Manturov, “Parity in knot theory”, Mat. Sb., 201:5 (2010), 65–110 ; Sb. Math., 201:5 (2010), 693–733	94
	2009
15.	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	4
16.	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	4
	2007
17.	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	19
	2006
18.	L. H. Kaufman, V. O. Manturov, “Virtual Knots and Links”, Trudy Mat. Inst. Steklova, 252 (2006), 114–133 ; Proc. Steklov Inst. Math., 252 (2006), 104–121	26
	2005
19.	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	12
20.	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	26
	2003
21.	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	14
	2002
22.	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	12
23.	V. O. Manturov, “Locally minimal nets on two-dimensional surfaces of negative curvature with several singularities”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 2, 27–31
	2001
24.	V. O. Manturov, “Maximally symmetric atoms and matrix groups of second order”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 2, 11–16
	2000
25.	V. O. Manturov, “On closedness of curves with periodic curvature”, Fundam. Prikl. Mat., 6:2 (2000), 477–483
26.	V. O. Manturov, “The bracket semigroup of knots”, Mat. Zametki, 67:4 (2000), 549–562 ; Math. Notes, 67:4 (2000), 468–478	6
27.	V. O. Manturov, “Bifurcations, atoms and knots”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 1, 3–8	7
28.	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	1

Presentations in Math-Net.Ru

1.	Новые связи между косами и 3-многообразиями V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 22, 2023 18:30
2.	Косы и узлы. Отображения из цилиндра в виртуальную категорию V. O. Manturov Differential geometry and applications December 12, 2022 16:45
3.	Косы и узлы. Отображения из цилиндра в виртуальную категорию. V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 19, 2022 18:30
4.	О группах $G_{n}^{k}$ и $\Gamma_{n}^{k}$ V. O. Manturov Shafarevich Seminar September 13, 2022 15:00
5.	Самозаклинивающиеся структуры в пространстве — трехмерные и двумерные A. Ya. Kanel-Belov, V. O. Manturov, K. Senjon Seminar "Mathematical Problems in Industry" December 29, 2021 16:00
6.	Пространственные заклинивающиеся структуры: трехмерные и двумерные A. Ya. Kanel-Belov, V. O. Manturov, S. Kim Differential geometry and applications November 8, 2021 16:45
7.	Пространственные заклинивающиеся структуры - трехмерные и двумерные A. Ya. Kanel-Belov, V. O. Manturov, S. Kim Mathematical Colloquium of the Bauman Moscow State Technical University October 21, 2021 17:30
8.	Spatial self-interlocking structures: three-dimensional and two-dimensional A. Ya. Kanel-Belov, V. O. Manturov Knots and Representation Theory October 4, 2021 18:30
9.	Узлы, группы и картинки V. O. Manturov August 12, 2021 16:30
10.	Virtual knot theory methods in classical topology. Part 2: Classical links on the cylinder V. O. Manturov, Sera Kim Knots and Representation Theory April 5, 2021 18:30
11.	Invariants of free knots valued in free groups V. O. Manturov Knots and Representation Theory February 1, 2021 18:30
12.	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
13.	An Introduction to Framed 4-Graph Minor Theory V. O. Manturov April 15, 2020 16:20
14.	О группах $G_{n}^{k}$, $\Gamma_{n}^{4}$, диаграммах Вороного и группе триангуляций V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) May 15, 2019 18:30
15.	Manifolds of triangulations and higher-dimensional braids (a joint work with I. M. Nikonov) V. O. Manturov Mathematical Colloquium of the Bauman Moscow State Technical University April 18, 2019 17:30
16.	Группы $\Gamma_{n}^{4}$, представления групп кос на поверхностях, диаграммы Вороного, кластерные алгебры и инварианты узлов V. O. Manturov Knots and Representation Theory November 20, 2018 18:30
17.	Группы $G_n^k$, многомерные аналоги кос и инварианты топологических пространств V. O. Manturov Mathematical Colloquium of the Bauman Moscow State Technical University May 17, 2018 17:30
18.	О группах G_n^k и топологических инвариантах динамических систем V. O. Manturov Hamiltonian systems and statistical mechanics November 13, 2017
19.	Кобордизмы графов, критерий срезанности нечетных свободных узлов и “закон сохранения картинки” V. O. Manturov, D. A. Fedoseev Differential geometry and applications October 2, 2017 16:45
20.	Косы, группы $G_{n}^{k}$, проблемы тождества и сопряженности, пермутоэдры и фундаментальные группы конфигурационных пространств V. O. Manturov Knots and Representation Theory May 2, 2017 18:30
21.	$G_{n}^{k}$ groups and fundamental groups of configuration spaces V. O. Manturov Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 22, 2017 16:45
22.	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 (Novikov Seminar) December 28, 2016 14:00
23.	Высшие группы $G_{n}^{k}$ и конфигурации общего положения проективных гиперплоскостей V. O. Manturov Knots and Representation Theory November 8, 2016 18:30
24.	Группы $G_{n}^{k}$, группы $\Gamma_{n}^{4}$ и многообразия триангуляций V. O. Manturov Knots and Representation Theory October 4, 2016 18:30
25.	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 (Novikov Seminar) June 29, 2016 14:00
26.	On knot theoretical counterpart of the groups $G_{n}^{k}$ V. O. Manturov III International Conference "Quantum Topology" June 22, 2016 16:20
27.	Группы $G_{n}^{k}$, нерейдемейстеровская теория узлов и динамические системы V. O. Manturov Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 16, 2016 13:40
28.	Parity, projections and embedding of classical braids into virtual braids V. O. Manturov Differential geometry and applications October 19, 2015 16:45
29.	Инварианты и картинки V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 12, 2015 14:00
30.	Простое доказательство вложимости классических кос в виртуальные косы V. O. Manturov Knots and Representation Theory May 26, 2015 18:30
31.	Динамические системы, косы, группы, картинки и нерейдемейсетровская теория узлов V. O. Manturov Differential geometry and applications March 2, 2015 16:45
32.	О группах и скобках V. O. Manturov Knots and Representation Theory February 24, 2015 18:30
33.	Нерейдемейстеровская теория узлов и ее приложения к динамическим системам, топологии и геометрии V. O. Manturov Knots and Representation Theory February 10, 2015 18:30
34.	Узлы, группы и катринки V. O. Manturov Knots and Representation Theory December 9, 2014 18:30
35.	О хроматических числах целочисленных и рациональных решеток V. O. Manturov Contemporary Problems in Number Theory May 15, 2014 12:45
36.	Четности, графы и квантовые инварианты в теории классических и виртуальных узлов V. O. Manturov Knots and Representation Theory March 11, 2014 18:30
37.	Теорема Робертсона-Сеймура-Томаса и четырехвалентные графы V. O. Manturov Knots and Representation Theory December 3, 2013 18:30
38.	Quantum invariants and almost recognition of free knots V. O. Manturov Differential geometry and applications April 1, 2013 16:45
39.	Квантовые инварианты и почти распознавание свободных узлов V. O. Manturov P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics April 1, 2013 16:45
40.	Раскраски целочисленных решеток и рациональных пространств V. O. Manturov Knots and Representation Theory February 19, 2013 18:30
41.	Квановые инварианты узлов, виртуальных узлов и графов на поверхностях V. O. Manturov P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics November 12, 2012 18:30
42.	Четность в маломерной топологии V. O. Manturov Meetings of the Moscow Mathematical Society October 23, 2012 18:30
43.	Quantum invariants of virtual knots, reductive relations, and graphs V. O. Manturov Geometric Topology Seminar August 8, 2012 14:05
44.	Global kernels of functoriality (after L. Laufforgue) V. O. Manturov Seminar on Arithmetic Algebraic Geometry April 25, 2012 12:00
45.	О раскрасках пространств и решеток V. O. Manturov Seminar on combinatorial geometry and topology March 29, 2012 17:00
46.	Некоторые задачи теории узлов и маломерной топологии V. O. Manturov, A. A. Nikolaev Seminar on combinatorial geometry and topology March 1, 2012
47.	Две проекции виртуальных узлов на классические узлы V. O. Manturov P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics December 5, 2011 18:30
48.	Четность и сведение вопросов из теории узлов к вопросам из теории графов V. O. Manturov P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics November 21, 2011 18:30
49.	Modification of quantum invariants for long knots V. O. Manturov Knots and Representation Theory October 11, 2011 18:30
50.	Состоится заседание памяти Олега Васильевича Мантурова (3.07.1936 – 23.07.2011) A. T. Fomenko, B. Yu. Sternin, V. O. Manturov, N. I. Goza P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics September 26, 2011 18:30
51.	Четность, минимальные диаграммы и проекции виртуальных узлов на классические V. O. Manturov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) May 18, 2011 14:00
52.	Четность и проекция виртуальных узлов на классические узлы V. O. Manturov P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics April 11, 2011 18:30
53.	Гомологии Хованова V. O. Manturov Meetings of the Moscow Mathematical Society November 30, 2010 18:30
54.	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
55.	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
56.	Применение атомов в современной геометрии и топологии V. O. Manturov Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov March 19, 1999 18:30

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