Persons: Manturov, Vassily Olegovich

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Manturov, Vassily Olegovich

Statistics Math-Net.Ru
Total publications:	25
Scientific articles:	25
Presentations:	45

Number of views:
This page:	6435
Abstract pages:	8140
Full texts:	2947
References:	733

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, 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

http://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

	2019
1.	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
2.	An Introduction to Framed 4-Graph Minor Theory V. O. Manturov April 15, 2020 16:20
3.	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 May 15, 2019 18:30
4.	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
5.	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
6.	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
7.	О группах G_n^k и топологических инвариантах динамических систем V. O. Manturov November 13, 2017
8.	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
9.	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
10.	$G_{n}^{k}$ groups and fundamental groups of configuration spaces V. O. Manturov Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 22, 2017 16:45
11.	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
12.	Высшие группы $G_{n}^{k}$ и конфигурации общего положения проективных гиперплоскостей V. O. Manturov Knots and Representation Theory November 8, 2016 18:30
13.	Группы $G_{n}^{k}$, группы $\Gamma_{n}^{4}$ и многообразия триангуляций V. O. Manturov Knots and Representation Theory October 4, 2016 18:30
14.	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
15.	On knot theoretical counterpart of the groups $G_{n}^{k}$ V. O. Manturov III International Conference "Quantum Topology" June 22, 2016 16:20
16.	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
17.	Parity, projections and embedding of classical braids into virtual braids V. O. Manturov Differential geometry and applications October 19, 2015 16:45
18.	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
19.	Простое доказательство вложимости классических кос в виртуальные косы V. O. Manturov Knots and Representation Theory May 26, 2015 18:30
20.	Динамические системы, косы, группы, картинки и нерейдемейсетровская теория узлов V. O. Manturov Differential geometry and applications March 2, 2015 16:45
21.	О группах и скобках V. O. Manturov Knots and Representation Theory February 24, 2015 18:30
22.	Нерейдемейстеровская теория узлов и ее приложения к динамическим системам, топологии и геометрии V. O. Manturov Knots and Representation Theory February 10, 2015 18:30
23.	Узлы, группы и катринки V. O. Manturov Knots and Representation Theory December 9, 2014 18:30
24.	О хроматических числах целочисленных и рациональных решеток V. O. Manturov Contemporary Problems in Number Theory May 15, 2014 12:45
25.	Четности, графы и квантовые инварианты в теории классических и виртуальных узлов V. O. Manturov Knots and Representation Theory March 11, 2014 18:30
26.	Теорема Робертсона-Сеймура-Томаса и четырехвалентные графы V. O. Manturov Knots and Representation Theory December 3, 2013 18:30
27.	Quantum invariants and almost recognition of free knots V. O. Manturov Differential geometry and applications April 1, 2013 16:45
28.	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
29.	Раскраски целочисленных решеток и рациональных пространств V. O. Manturov Knots and Representation Theory February 19, 2013 18:30
30.	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
31.	Четность в маломерной топологии V. O. Manturov Meetings of the Moscow Mathematical Society October 23, 2012 18:30
32.	Quantum invariants of virtual knots, reductive relations, and graphs V. O. Manturov Geometric Topology Seminar August 8, 2012 14:05
33.	Global kernels of functoriality (after L. Laufforgue) V. O. Manturov Seminar on Arithmetic Algebraic Geometry April 25, 2012 12:00
34.	О раскрасках пространств и решеток V. O. Manturov Seminar on combinatorial geometry and topology March 29, 2012 17:00
35.	Некоторые задачи теории узлов и маломерной топологии V. O. Manturov, A. A. Nikolaev Seminar on combinatorial geometry and topology March 1, 2012
36.	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
37.	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
38.	Modification of quantum invariants for long knots V. O. Manturov Knots and Representation Theory October 11, 2011 18:30
39.	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
40.	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 May 18, 2011 14:00
41.	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
42.	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
45.	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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