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Chmutov, Sergei V.

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Author ID: chmutov.sergei-v Recent zbMATH articles by "Chmutov, Sergei V."
Published as: Chmutov, S.; Chmutov, S. V.; Chmutov, Sergei; Chmutov, Sergei V.
Documents Indexed: 50 Publications since 1981, including 1 Book

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 348 times in 237 Documents Cited by Year
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
65
2012
Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial. Zbl 1172.05015
Chmutov, Sergei
39
2009
The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004
Chmutov, Sergei; Pak, Igor
25
2007
Remarks on the Vassiliev knot invariants coming from \(sl_ 2\). Zbl 0876.57013
Chmutov, S. V.; Varchenko, A. N.
23
1997
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
20
2008
The Kontsevich integral. Zbl 0980.57006
Chmutov, S.; Duzhin, S.
16
2001
Vassiliev knot invariants. I: Introduction. Zbl 0956.57009
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
15
1994
Examples of projective surfaces with many singularities. Zbl 0785.14020
Chmutov, S. V.
13
1992
An upper bound for the number of Vassiliev knot invariants. Zbl 0816.57005
Chmutov, S. V.; Duzhin, S. V.
12
1994
Polyak-Viro formulas for coefficients of the Conway polynomial. Zbl 1195.57026
Chmutov, Sergei; Khoury, Michael Cap; Rossi, Alfred
8
2009
A lower bound for the number of Vassiliev knot invariants. Zbl 0934.57006
Chmutov, S.; Duzhin, S.
8
1999
Vassiliev knot invariants. III: Forest algebra and weighted graphs. Zbl 0956.57011
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
8
1994
Polynomial invariants of graphs on surfaces. Zbl 1257.05065
Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick
7
2013
Mutant knots and intersection graphs. Zbl 1158.57013
Chmutov, Sergei V.; Lando, Sergei K.
7
2007
The algebra of 3-graphs. Zbl 0944.57009
Duzhin, S. V.; Kaishev, A. I.; Chmutov, S. V.
7
1998
Explicit formulas for Arnold’s generic curve invariants. Zbl 1076.57502
Chmutov, S.; Duzhin, S.
7
1997
On the link invariants from the Yokonuma-Hecke algebras. Zbl 1355.57008
Chmutov, S.; Jablan, S.; Karvounis, K.; Lambropoulou, S.
6
2016
On the Tutte-Krushkal-Renardy polynomial for cell complexes. Zbl 1281.05132
Bajo, Carlos; Burdick, Bradley; Chmutov, Sergei
6
2014
On a surface formed by randomly gluing together polygonal discs. Zbl 1328.05003
Chmutov, Sergei; Pittel, Boris
5
2016
A proof of the Melvin-Morton conjecture and Feynman diagrams. Zbl 0892.57002
Chmutov, S.
5
1998
Vassiliev knot invariants. II: Intersection graph conjecture for trees. Zbl 0956.57010
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
5
1994
The genus of a random chord diagram is asymptotically normal. Zbl 1258.57011
Chmutov, Sergei; Pittel, Boris
4
2013
Elementary combinatorics of the HOMFLYPT polynomial. Zbl 1198.57007
Chmutov, Sergei; Polyak, Michael
4
2010
Knight move in chromatic cohomology. Zbl 1139.57009
Chmutov, Michael; Chmutov, Sergei; Rong, Yongwu
4
2008
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
4
2000
The monodromy groups of critical points of functions. II. Zbl 0536.32006
Chmutov, S. V.
4
1983
Diagrams of divide links. Zbl 1046.57004
Chmutov, Sergei
3
2003
Monodromy groups of critical point of functions. Zbl 0468.57024
Chmutov, S. V.
3
1982
Polynomial graph invariants and the KP hierarchy. Zbl 1442.05101
Chmutov, Sergei; Kazarian, Maxim; Lando, Sergei
2
2020
Arrow ribbon graphs. Zbl 1309.05050
Bradford, Robert; Butler, Clark; Chmutov, Sergei
2
2012
Polynomial invariants of Legendrian links and their fronts. Zbl 0967.57009
Chmutov, S.; Goryunov, V.
2
1997
Polynomial invariants of Legendrian links and plane fronts. Zbl 0886.57005
Chmutov, S.; Goryunov, V.
2
1997
Tangent cone to the stratum \(\mu =const\). Zbl 0593.58002
Varchenko, A. N.; Chmutov, S. V.
2
1985
An integral generalization of the Gusein-Zade-Natanzon theorem. Zbl 1063.57003
Chmutov, Sergei
1
2003
Combinatorial analog of the Melvin-Morton conjecture. Zbl 0967.57010
Chmutov, S.
1
1997
Dynkin diagrams of dual boundary singularities are dual. Zbl 0828.32010
Chmutov, S.; Scherback, I.
1
1994
Gaydar’s formula for the greatest common divisor of several polynomials. Zbl 0816.13021
Duzhin, S. V.; Chmutov, S. V.
1
1993
Monodromy groups of singularities of functions of two variables. Zbl 0466.32002
Chmutov, S. V.
1
1981
Polynomial graph invariants and the KP hierarchy. Zbl 1442.05101
Chmutov, Sergei; Kazarian, Maxim; Lando, Sergei
2
2020
On the link invariants from the Yokonuma-Hecke algebras. Zbl 1355.57008
Chmutov, S.; Jablan, S.; Karvounis, K.; Lambropoulou, S.
6
2016
On a surface formed by randomly gluing together polygonal discs. Zbl 1328.05003
Chmutov, Sergei; Pittel, Boris
5
2016
On the Tutte-Krushkal-Renardy polynomial for cell complexes. Zbl 1281.05132
Bajo, Carlos; Burdick, Bradley; Chmutov, Sergei
6
2014
Polynomial invariants of graphs on surfaces. Zbl 1257.05065
Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick
7
2013
The genus of a random chord diagram is asymptotically normal. Zbl 1258.57011
Chmutov, Sergei; Pittel, Boris
4
2013
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
65
2012
Arrow ribbon graphs. Zbl 1309.05050
Bradford, Robert; Butler, Clark; Chmutov, Sergei
2
2012
Elementary combinatorics of the HOMFLYPT polynomial. Zbl 1198.57007
Chmutov, Sergei; Polyak, Michael
4
2010
Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial. Zbl 1172.05015
Chmutov, Sergei
39
2009
Polyak-Viro formulas for coefficients of the Conway polynomial. Zbl 1195.57026
Chmutov, Sergei; Khoury, Michael Cap; Rossi, Alfred
8
2009
Thistlethwaite’s theorem for virtual links. Zbl 1163.57001
Chmutov, Sergei; Voltz, Jeremy
20
2008
Knight move in chromatic cohomology. Zbl 1139.57009
Chmutov, Michael; Chmutov, Sergei; Rong, Yongwu
4
2008
The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004
Chmutov, Sergei; Pak, Igor
25
2007
Mutant knots and intersection graphs. Zbl 1158.57013
Chmutov, Sergei V.; Lando, Sergei K.
7
2007
Diagrams of divide links. Zbl 1046.57004
Chmutov, Sergei
3
2003
An integral generalization of the Gusein-Zade-Natanzon theorem. Zbl 1063.57003
Chmutov, Sergei
1
2003
The Kontsevich integral. Zbl 0980.57006
Chmutov, S.; Duzhin, S.
16
2001
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
4
2000
A lower bound for the number of Vassiliev knot invariants. Zbl 0934.57006
Chmutov, S.; Duzhin, S.
8
1999
The algebra of 3-graphs. Zbl 0944.57009
Duzhin, S. V.; Kaishev, A. I.; Chmutov, S. V.
7
1998
A proof of the Melvin-Morton conjecture and Feynman diagrams. Zbl 0892.57002
Chmutov, S.
5
1998
Remarks on the Vassiliev knot invariants coming from \(sl_ 2\). Zbl 0876.57013
Chmutov, S. V.; Varchenko, A. N.
23
1997
Explicit formulas for Arnold’s generic curve invariants. Zbl 1076.57502
Chmutov, S.; Duzhin, S.
7
1997
Polynomial invariants of Legendrian links and their fronts. Zbl 0967.57009
Chmutov, S.; Goryunov, V.
2
1997
Polynomial invariants of Legendrian links and plane fronts. Zbl 0886.57005
Chmutov, S.; Goryunov, V.
2
1997
Combinatorial analog of the Melvin-Morton conjecture. Zbl 0967.57010
Chmutov, S.
1
1997
Vassiliev knot invariants. I: Introduction. Zbl 0956.57009
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
15
1994
An upper bound for the number of Vassiliev knot invariants. Zbl 0816.57005
Chmutov, S. V.; Duzhin, S. V.
12
1994
Vassiliev knot invariants. III: Forest algebra and weighted graphs. Zbl 0956.57011
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
8
1994
Vassiliev knot invariants. II: Intersection graph conjecture for trees. Zbl 0956.57010
Chmutov, S. V.; Duzhin, S. V.; Lando, S. K.
5
1994
Dynkin diagrams of dual boundary singularities are dual. Zbl 0828.32010
Chmutov, S.; Scherback, I.
1
1994
Gaydar’s formula for the greatest common divisor of several polynomials. Zbl 0816.13021
Duzhin, S. V.; Chmutov, S. V.
1
1993
Examples of projective surfaces with many singularities. Zbl 0785.14020
Chmutov, S. V.
13
1992
Tangent cone to the stratum \(\mu =const\). Zbl 0593.58002
Varchenko, A. N.; Chmutov, S. V.
2
1985
The monodromy groups of critical points of functions. II. Zbl 0536.32006
Chmutov, S. V.
4
1983
Monodromy groups of critical point of functions. Zbl 0468.57024
Chmutov, S. V.
3
1982
Monodromy groups of singularities of functions of two variables. Zbl 0466.32002
Chmutov, S. V.
1
1981
all top 5

Cited by 270 Authors

18 Moffatt, Iain
10 Chmutov, Sergei V.
8 Escudero, Juan García
7 Mironov, Andrei D.
6 Bar-Natan, Dror
6 Dasbach, Oliver T.
6 Jin, Xian’an
5 Duzhin, Sergei Vasilievich
5 Kauffman, Louis Hirsch
5 Lando, Sergei K.
5 Morozov, Alexei Yurievich
5 Traldi, Lorenzo
4 Ellis-Monaghan, Joanna A.
4 Il’yutko, Denis Petrovich
4 Karev, Maksim V.
4 Krajewski, Thomas
4 Lambropoulou, Sofia S. F.
4 Schrijver, Alexander
4 Vignes-Tourneret, Fabien
3 Butler, Clark
3 Chrisman, Micah Whitney
3 Huggett, Stephen A.
3 Lenz, Matthias
3 Loebl, Martin
3 Manturov, Vassiliĭ Olegovich
3 Meilhan, Jean-Baptiste
3 Mkrtchyan, Ruben L.
3 Noble, Steven Derek
3 Nowik, Tahl
3 Ohyama, Yoshiyuki
3 Regts, Guus
3 Rivasseau, Vincent
3 Sazdanović, Radmila
3 Stoimenow, Alexander
3 Tanasă, Adrian
3 Varchenko, Alexander Nikolaevich
3 Yan, Qi
2 Acan, Hüseyin
2 Brandenbursky, Michael
2 Budzinski, Thomas
2 Chun, Carolyn
2 Dancso, Zsuzsanna
2 Deng, Qingying
2 Diao, Yuanan
2 Dimca, Alexandru
2 Even-Zohar, Chaim
2 Garoufalidis, Stavros
2 Goundaroulis, Dimos
2 Gross, Jonathan L.
2 Habiro, Kazuo
2 Hetyei, Gábor
2 Il’yuta, G. G.
2 Kanenobu, Taizo
2 Khovanskiĭ, Askold Georgievich
2 Kohno, Toshitake
2 Komendarczyk, Rafal
2 Krasil’shchik, Joseph
2 Kurpita, Bohdan I.
2 Labs, Oliver
2 Lentner, Simon D.
2 Lowrance, Adam M.
2 Mellor, Blake
2 Metsidik, Metrose
2 Michaelides, Andreas
2 Mnëv, Nikolai Evgen’evich
2 Moci, Luca
2 Morozov, Al’bert Dmitrievich
2 Murasugi, Kunio
2 Ohtsuki, Tomotada
2 Petit, Nicolas
2 Pittel, Boris G.
2 Polyak, Michael
2 Sakurai, Migiwa
2 Scherbak, Inna
2 Sevenster, Bart
2 Sleptsov, A. V.
2 Sleptsov, Alexei
2 Smirnov, Andrey V.
2 Sosinskiĭ, Alekseĭ Bronislavovich
2 Suzuki, Sakie
2 Thurston, Dylan Paul
2 Turchin, Victor Éduardovich
2 Vasil’ev, Viktor Anatol’evich
2 Vershik, Anatoliĭ Moiseevich
2 Yamada, Yuichi
2 Zulli, Louis
1 Akleman, Ergun
1 Alekseev, Anton Yu.
1 Backman, Spencer
1 Ben Geloun, Joseph
1 Bigeni, Ange
1 Biswas, Indranil
1 Bloom, Jonathan M.
1 Bocklandt, Raf
1 Bollobás, Béla
1 Bradford, Robert L. III
1 Brändén, Petter
1 Bringmann, Kathrin
1 Brochier, Adrien
1 Brugallé, Erwan
...and 170 more Authors
all top 5

Cited in 81 Serials

37 Journal of Knot Theory and its Ramifications
14 European Journal of Combinatorics
13 Topology and its Applications
10 Journal of Mathematical Sciences (New York)
10 Algebraic & Geometric Topology
7 Discrete Mathematics
7 Journal of Combinatorial Theory. Series B
5 Functional Analysis and its Applications
5 Journal of Combinatorial Theory. Series A
5 Journal of Pure and Applied Algebra
5 Combinatorics, Probability and Computing
5 Journal of High Energy Physics
4 Journal of Mathematical Physics
4 Advances in Mathematics
4 Inventiones Mathematicae
4 Advances in Applied Mathematics
4 Geometry & Topology
4 Annals of Combinatorics
3 Quantum Topology
3 Arnold Mathematical Journal
2 International Journal of Modern Physics A
2 Israel Journal of Mathematics
2 Nuclear Physics. B
2 Physics Letters. B
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Geometriae Dedicata
2 Journal of Algebra
2 Journal of Graph Theory
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 Discrete & Computational Geometry
2 Journal of Algebraic Combinatorics
2 St. Petersburg Mathematical Journal
2 The Electronic Journal of Combinatorics
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Journal of Fluid Mechanics
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
1 Combinatorica
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 International Journal of Mathematics
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Geometry
1 Selecta Mathematica. New Series
1 Electronic Communications in Probability
1 Séminaire Lotharingien de Combinatoire
1 Discrete Dynamics in Nature and Society
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Noncommutative Geometry
1 Journal of Topology
1 Ars Mathematica Contemporanea
1 Symmetry
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Journal of Applied and Computational Topology

Citations by Year