Edit Profile Chmutov, Sergei V. Compute Distance To: Compute Author ID: chmutov.sergei-v Published as: Chmutov, S.; Chmutov, S. V.; Chmutov, Sergei; Chmutov, Sergei V. Documents Indexed: 50 Publications since 1981, including 1 Book all top 5 Co-Authors 13 single-authored 10 Duzhin, Sergei Vasilievich 7 Lando, Sergei K. 5 Varchenko, Alexander Nikolaevich 4 Goryunov, Victor V. 3 Karev, Maksim V. 3 Scherbak, Inna 2 Butler, Clark 2 Khovanskiĭ, Askold Georgievich 2 Krasil’shchik, Joseph 2 Mnëv, Nikolai Evgen’evich 2 Pittel, Boris G. 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Vasil’ev, Viktor Anatol’evich 2 Vershik, Anatoliĭ Moiseevich 1 Askanazi, Ross 1 Bajo, Carlos 1 Bradford, Robert L. III 1 Burdick, Bradley Lewis 1 Chmutov, Michael 1 Estill, Charles 1 Huryn, Jake 1 Jablan, Slavik Vlado 1 Kaishev, A. I. 1 Karvounis, Konstantinos 1 Kauffman, Louis Hirsch 1 Kazaryan, Maxim Eduardovich 1 Khoury, Michael Cap 1 Lambropoulou, Sofia S. F. 1 Michel, Jonathan 1 Mostovoy, Jacob 1 Murakami, Hitoshi 1 Pak, Igor 1 Panina, G. A. 1 Panina, Gaiane Yu. 1 Polyak, Michael 1 Przytycki, Józef H. 1 Romanovsky, Yu. A. 1 Romanovsky, Yuri M. 1 Rong, Yongwu 1 Rossi, Alfred 1 Scherback, Inna 1 Stollenwerk, Patrick 1 Valisyev, N. 1 Vasil’ev, N. N. 1 Voltz, Jeremy all top 5 Serials 8 Journal of Knot Theory and its Ramifications 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series A 2 IMRN. International Mathematics Research Notices 2 Journal of Algebraic Geometry 2 Moscow Mathematical Journal 2 Arnold Mathematical Journal 1 Communications in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Combinatorial Theory. Series B 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Programming and Computer Software 1 Topology 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Selecta Mathematica. New Series 1 Algebraic & Geometric Topology 1 Involve 1 Quantum Topology all top 5 Fields 33 Manifolds and cell complexes (57-XX) 13 Combinatorics (05-XX) 6 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 348 times in 237 Documents Cited by ▼ Year ▼ Introduction to Vassiliev knot invariants. Zbl 1245.57003Chmutov, S.; Duzhin, S.; Mostovoy, J. 65 2012 Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial. Zbl 1172.05015Chmutov, Sergei 39 2009 The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004Chmutov, Sergei; Pak, Igor 25 2007 Remarks on the Vassiliev knot invariants coming from \(sl_ 2\). Zbl 0876.57013Chmutov, S. V.; Varchenko, A. N. 23 1997 Thistlethwaite’s theorem for virtual links. Zbl 1163.57001Chmutov, Sergei; Voltz, Jeremy 20 2008 The Kontsevich integral. Zbl 0980.57006Chmutov, S.; Duzhin, S. 16 2001 Vassiliev knot invariants. I: Introduction. Zbl 0956.57009Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 15 1994 Examples of projective surfaces with many singularities. Zbl 0785.14020Chmutov, S. V. 13 1992 An upper bound for the number of Vassiliev knot invariants. Zbl 0816.57005Chmutov, S. V.; Duzhin, S. V. 12 1994 Polyak-Viro formulas for coefficients of the Conway polynomial. Zbl 1195.57026Chmutov, Sergei; Khoury, Michael Cap; Rossi, Alfred 8 2009 A lower bound for the number of Vassiliev knot invariants. Zbl 0934.57006Chmutov, S.; Duzhin, S. 8 1999 Vassiliev knot invariants. III: Forest algebra and weighted graphs. Zbl 0956.57011Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 8 1994 Polynomial invariants of graphs on surfaces. Zbl 1257.05065Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick 7 2013 Mutant knots and intersection graphs. Zbl 1158.57013Chmutov, Sergei V.; Lando, Sergei K. 7 2007 The algebra of 3-graphs. Zbl 0944.57009Duzhin, S. V.; Kaishev, A. I.; Chmutov, S. V. 7 1998 Explicit formulas for Arnold’s generic curve invariants. Zbl 1076.57502Chmutov, S.; Duzhin, S. 7 1997 On the link invariants from the Yokonuma-Hecke algebras. Zbl 1355.57008Chmutov, S.; Jablan, S.; Karvounis, K.; Lambropoulou, S. 6 2016 On the Tutte-Krushkal-Renardy polynomial for cell complexes. Zbl 1281.05132Bajo, Carlos; Burdick, Bradley; Chmutov, Sergei 6 2014 On a surface formed by randomly gluing together polygonal discs. Zbl 1328.05003Chmutov, Sergei; Pittel, Boris 5 2016 A proof of the Melvin-Morton conjecture and Feynman diagrams. Zbl 0892.57002Chmutov, S. 5 1998 Vassiliev knot invariants. II: Intersection graph conjecture for trees. Zbl 0956.57010Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 5 1994 The genus of a random chord diagram is asymptotically normal. Zbl 1258.57011Chmutov, Sergei; Pittel, Boris 4 2013 Elementary combinatorics of the HOMFLYPT polynomial. Zbl 1198.57007Chmutov, Sergei; Polyak, Michael 4 2010 Knight move in chromatic cohomology. Zbl 1139.57009Chmutov, Michael; Chmutov, Sergei; Rong, Yongwu 4 2008 Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005Chmutov, S.; Goryunov, V.; Murakami, H. 4 2000 The monodromy groups of critical points of functions. II. Zbl 0536.32006Chmutov, S. V. 4 1983 Diagrams of divide links. Zbl 1046.57004Chmutov, Sergei 3 2003 Monodromy groups of critical point of functions. Zbl 0468.57024Chmutov, S. V. 3 1982 Polynomial graph invariants and the KP hierarchy. Zbl 1442.05101Chmutov, Sergei; Kazarian, Maxim; Lando, Sergei 2 2020 Arrow ribbon graphs. Zbl 1309.05050Bradford, Robert; Butler, Clark; Chmutov, Sergei 2 2012 Polynomial invariants of Legendrian links and their fronts. Zbl 0967.57009Chmutov, S.; Goryunov, V. 2 1997 Polynomial invariants of Legendrian links and plane fronts. Zbl 0886.57005Chmutov, S.; Goryunov, V. 2 1997 Tangent cone to the stratum \(\mu =const\). Zbl 0593.58002Varchenko, A. N.; Chmutov, S. V. 2 1985 An integral generalization of the Gusein-Zade-Natanzon theorem. Zbl 1063.57003Chmutov, Sergei 1 2003 Combinatorial analog of the Melvin-Morton conjecture. Zbl 0967.57010Chmutov, S. 1 1997 Dynkin diagrams of dual boundary singularities are dual. Zbl 0828.32010Chmutov, S.; Scherback, I. 1 1994 Gaydar’s formula for the greatest common divisor of several polynomials. Zbl 0816.13021Duzhin, S. V.; Chmutov, S. V. 1 1993 Monodromy groups of singularities of functions of two variables. Zbl 0466.32002Chmutov, S. V. 1 1981 Polynomial graph invariants and the KP hierarchy. Zbl 1442.05101Chmutov, Sergei; Kazarian, Maxim; Lando, Sergei 2 2020 On the link invariants from the Yokonuma-Hecke algebras. Zbl 1355.57008Chmutov, S.; Jablan, S.; Karvounis, K.; Lambropoulou, S. 6 2016 On a surface formed by randomly gluing together polygonal discs. Zbl 1328.05003Chmutov, Sergei; Pittel, Boris 5 2016 On the Tutte-Krushkal-Renardy polynomial for cell complexes. Zbl 1281.05132Bajo, Carlos; Burdick, Bradley; Chmutov, Sergei 6 2014 Polynomial invariants of graphs on surfaces. Zbl 1257.05065Askanazi, Ross; Chmutov, Sergei; Estill, Charles; Michel, Jonathan; Stollenwerk, Patrick 7 2013 The genus of a random chord diagram is asymptotically normal. Zbl 1258.57011Chmutov, Sergei; Pittel, Boris 4 2013 Introduction to Vassiliev knot invariants. Zbl 1245.57003Chmutov, S.; Duzhin, S.; Mostovoy, J. 65 2012 Arrow ribbon graphs. Zbl 1309.05050Bradford, Robert; Butler, Clark; Chmutov, Sergei 2 2012 Elementary combinatorics of the HOMFLYPT polynomial. Zbl 1198.57007Chmutov, Sergei; Polyak, Michael 4 2010 Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial. Zbl 1172.05015Chmutov, Sergei 39 2009 Polyak-Viro formulas for coefficients of the Conway polynomial. Zbl 1195.57026Chmutov, Sergei; Khoury, Michael Cap; Rossi, Alfred 8 2009 Thistlethwaite’s theorem for virtual links. Zbl 1163.57001Chmutov, Sergei; Voltz, Jeremy 20 2008 Knight move in chromatic cohomology. Zbl 1139.57009Chmutov, Michael; Chmutov, Sergei; Rong, Yongwu 4 2008 The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004Chmutov, Sergei; Pak, Igor 25 2007 Mutant knots and intersection graphs. Zbl 1158.57013Chmutov, Sergei V.; Lando, Sergei K. 7 2007 Diagrams of divide links. Zbl 1046.57004Chmutov, Sergei 3 2003 An integral generalization of the Gusein-Zade-Natanzon theorem. Zbl 1063.57003Chmutov, Sergei 1 2003 The Kontsevich integral. Zbl 0980.57006Chmutov, S.; Duzhin, S. 16 2001 Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005Chmutov, S.; Goryunov, V.; Murakami, H. 4 2000 A lower bound for the number of Vassiliev knot invariants. Zbl 0934.57006Chmutov, S.; Duzhin, S. 8 1999 The algebra of 3-graphs. Zbl 0944.57009Duzhin, S. V.; Kaishev, A. I.; Chmutov, S. V. 7 1998 A proof of the Melvin-Morton conjecture and Feynman diagrams. Zbl 0892.57002Chmutov, S. 5 1998 Remarks on the Vassiliev knot invariants coming from \(sl_ 2\). Zbl 0876.57013Chmutov, S. V.; Varchenko, A. N. 23 1997 Explicit formulas for Arnold’s generic curve invariants. Zbl 1076.57502Chmutov, S.; Duzhin, S. 7 1997 Polynomial invariants of Legendrian links and their fronts. Zbl 0967.57009Chmutov, S.; Goryunov, V. 2 1997 Polynomial invariants of Legendrian links and plane fronts. Zbl 0886.57005Chmutov, S.; Goryunov, V. 2 1997 Combinatorial analog of the Melvin-Morton conjecture. Zbl 0967.57010Chmutov, S. 1 1997 Vassiliev knot invariants. I: Introduction. Zbl 0956.57009Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 15 1994 An upper bound for the number of Vassiliev knot invariants. Zbl 0816.57005Chmutov, S. V.; Duzhin, S. V. 12 1994 Vassiliev knot invariants. III: Forest algebra and weighted graphs. Zbl 0956.57011Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 8 1994 Vassiliev knot invariants. II: Intersection graph conjecture for trees. Zbl 0956.57010Chmutov, S. V.; Duzhin, S. V.; Lando, S. K. 5 1994 Dynkin diagrams of dual boundary singularities are dual. Zbl 0828.32010Chmutov, S.; Scherback, I. 1 1994 Gaydar’s formula for the greatest common divisor of several polynomials. Zbl 0816.13021Duzhin, S. V.; Chmutov, S. V. 1 1993 Examples of projective surfaces with many singularities. Zbl 0785.14020Chmutov, S. V. 13 1992 Tangent cone to the stratum \(\mu =const\). Zbl 0593.58002Varchenko, A. N.; Chmutov, S. V. 2 1985 The monodromy groups of critical points of functions. II. Zbl 0536.32006Chmutov, S. V. 4 1983 Monodromy groups of critical point of functions. Zbl 0468.57024Chmutov, S. V. 3 1982 Monodromy groups of singularities of functions of two variables. Zbl 0466.32002Chmutov, S. V. 1 1981 all cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 148 Manifolds and cell complexes (57-XX) 92 Combinatorics (05-XX) 24 Algebraic geometry (14-XX) 19 Quantum theory (81-XX) 15 Nonassociative rings and algebras (17-XX) 12 Associative rings and algebras (16-XX) 12 Group theory and generalizations (20-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Convex and discrete geometry (52-XX) 9 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year