Edit Profile Novikov, Sergeĭ Petrovich Compute Distance To: Compute Author ID: novikov.sergei-petrovich Published as: Novikov, S.; Novikov, S. P.; Novikov, Sergei P.; Novikov, Sergej P.; Novikov, Sergey; Novikov, Sergey P. Homepage: http://www.mi.ras.ru/~snovikov/index.html External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Fields Medal (1970) · Wolf Prize (2005) Documents Indexed: 331 Publications since 1959, including 41 Books Biographic References: 15 Publications all top 5 Co-Authors 112 single-authored 32 Bukhshtaber, Viktor Matveevich 32 Krichever, Igor’ Moiseevich 26 Dubrovin, Boris Anatol’evich 21 Grinevich, Pëtr Georgievich 17 Arnol’d, Vladimir Igorevich 17 Fomenko, Anatoliĭ Timofeevich 14 Faddeev, Lyudvig Dmitrievich 13 Kozlov, Valeriĭ Vasil’evich 12 Sinaĭ, Yakov Grigor’evich 12 Veselov, Alexander Petrovich 10 Gamkrelidze, Revaz Valerianovich 9 Kolmogorov, Andreĭ Nikolaevich 9 Mal’tsev, Arkadiĭ Anatol’evich 9 Marchenko, Vladimir Aleksandrovich 9 Parshin, Alexei N. 9 Taimanov, Iskander Asanovich 8 Maslov, Viktor Pavlovich 8 Osipov, Yuriĭ Sergeevich 8 Reshetnyak, Yuriĭ Grigor’evich 7 Bogoyavlenskij, Oleg Igorevich 7 Mal’tsev, Andreĭ Yakovlevich 7 Vershik, Anatoliĭ Moiseevich 6 Gonchar, Andreĭ Aleksandrovich 6 Kutateladze, Semën Samsonovich 6 Margulis, Grigoriĭ Aleksandrovich 6 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 6 Oleĭnik, Ol’ga Arsen’evna 6 Pogorelov, Alekseĭ Vasil’evich 6 Vladimirov, Vasiliĭ Sergeevich 6 Zel’manov, Efim Isaakovich 5 Aleksandrov, Aleksandr Danilovich 5 Anosov, Dmitriĭ Viktorovich 5 Berezans’kyĭ, Yuriĭ Makarovych 5 Bogolyubov, Nikolaĭ Nikolaevich 5 Fuchs, Dmitry Borisovich 5 Gel’fand, Israil’ Moiseevich 5 Kostrikin, Alekseĭ Ivanovich 5 Manin, Yuri Ivanovich 5 Sergeev, Armen Glebovich 5 Treshchev, Dmitriĭ Valer’evich 5 Zhizhchenko, Alexey B. 4 Adyan, Sergeĭ Ivanovich 4 Dynnikov, Ivan Alekseevich 4 Khovanskiĭ, Askold Georgievich 4 Khruslov, Eugene Yakovlevich 4 Ladyzhenskaya, Ol’ga Aleksandrovna 4 Lupanov, Oleg Borisovich 4 Mironov, Andreĭ Evgen’evich 4 Mishchenko, Aleksandr Sergeevich 4 Mishchenko, Evgeniĭ Frolovich 4 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 4 Ostrovskiĭ, Iosif Vladimirovich 4 Rapinchuk, Andrei S. 4 Sabitov, Idzhad Khakovich 4 Tikhomirov, Vladimir Mikhaĭlovich 4 Vishik, Marko Iosifovich 4 Zakharov, Vladimir Evgen’evich 3 Beklemishev, Lev D. 3 Benyash-Krivets, Valeriĭ Vatslavovich 3 Bolibrukh, Andreĭ Andreevich 3 Gindikin, Simon Grigorevich 3 Ibragimov, Il’dar Abdullovich 3 Ishlinskiĭ, Aleksandr Yul’evich 3 Kac, Victor G. 3 Kalashnikov, Anatoliĭ Sergeevich 3 Kashin, Boris Sergeevich 3 Kirillov, Alexandre Aleksandrovich 3 Kuchment, Peter A. 3 Lando, Sergei K. 3 Marchuk, Guriĭ Ivanovich 3 Maslov, Klavdii V. 3 Matveev, Vladimir B. 3 Orlov, Dmitri O. 3 Pastur, Leonid Andreevich 3 Prasad, Gopal 3 Sadovnichiĭ, Viktor Antonovich 3 Semenov, Alexei Lvovich 3 Semënov, Evgeniĭ Mikhaĭlovich 3 Shafarevich, Igor’ Rostislavovich 3 Skrypnik, Igor Vladimirovich 3 Stepin, Anatolii Mikhailovich 3 Vasil’ev, Viktor Anatol’evich 3 Zarelua, A. V. 2 Agranovich, Mikhail Semënovich 2 Aleksandrov, Pavel Sergeevich 2 Alexandrov, Victor A. 2 Aref’eva, Irina Yaroslavna 2 Aseev, Sergei M. 2 Bakhvalov, Nikolai Sergeevich 2 Bazaliĭ, Boris V. 2 Bobylev, Nikolaĭ Antonovich 2 Bokut, Leonid A. 2 Chernousov, Vladimir I. 2 Chernyi, Gorimir Gorimirovich 2 Chirka, Evgeni M. 2 Davydov, Alekseĭ Aleksandrovich 2 Demushkin, S. P. 2 Dolbilin, Nikolaĭ Petrovich 2 Dulov, V. G. 2 Egorov, Yuriĭ Vladimirovich ...and 283 more Co-Authors all top 5 Serials 110 Russian Mathematical Surveys 31 Soviet Mathematics. Doklady 22 Uspekhi Matematicheskikh Nauk [N. S.] 11 Functional Analysis and its Applications 7 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Proceedings of the Steklov Institute of Mathematics 5 Soviet Scientific Reviews. Section C 4 Mathematics of the USSR. Izvestiya 4 Graduate Texts in Mathematics 4 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 4 Translations. Series 2. American Mathematical Society 3 Journal of Soviet Mathematics 3 Physica D 3 Moscow Mathematical Journal 3 Encyclopaedia of Mathematical Sciences 3 Series on Knots and Everything 3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Theoretical and Mathematical Physics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Voprosy Istorii Estestvoznaniya i Tekhniki 2 Trudy Seminara po Vektornomu i Tenzornomu Analizu 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Proceedings of Symposia in Pure Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Translations. Series 2. American Mathematical Society 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 Doklady Akademii Nauk SSSR 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Selecta Mathematica Sovietica 1 Geometric and Functional Analysis. GAFA 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 Mathematics of the USSR, Sbornik 1 Soviet Physics. Doklady 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Doklady Mathematics 1 The Asian Journal of Mathematics 1 Differential Equations 1 Oberwolfach Reports 1 Chebyshevskiĭ Sbornik 1 Graduate Studies in Mathematics 1 Mathematics and Its Applications. Soviet Series 1 Classic Reviews in Mathematics and Mathematical Physics 1 Annales Academiae Paedagogicae Cracoviensis. Studia Mathematica 1 Scientific Issues. Jan Długosz University in Częstochowa. Mathematics all top 5 Fields 108 History and biography (01-XX) 73 Dynamical systems and ergodic theory (37-XX) 68 Partial differential equations (35-XX) 43 Global analysis, analysis on manifolds (58-XX) 39 Manifolds and cell complexes (57-XX) 34 Algebraic topology (55-XX) 28 Differential geometry (53-XX) 28 Quantum theory (81-XX) 23 General and overarching topics; collections (00-XX) 22 Algebraic geometry (14-XX) 18 Operator theory (47-XX) 16 Mechanics of particles and systems (70-XX) 15 Fluid mechanics (76-XX) 11 Functions of a complex variable (30-XX) 11 Ordinary differential equations (34-XX) 10 Difference and functional equations (39-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Relativity and gravitational theory (83-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 2 \(K\)-theory (19-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 3,276 times in 2,520 Documents Cited by ▼ Year ▼ Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E. 572 1984 Theory of solitons. The method of the inverse problem. Zbl 0598.35003Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P. 204 1980 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory. Zbl 0712.58032Dubrovin, B. A.; Novikov, S. P. 140 1989 Non-linear equations of Korteweg-deVries type, finite-zone linear operators, and Abelian varieties. Zbl 0346.35025Dubrovin, B. A.; Matveev, V. B.; Novikov, S. P. 116 1976 Nonlinear equations of Korteweg-de Vries type, finite-band linear operators and abelian varieties. Zbl 0326.35011Dubrovin, B. A.; Matveev, V. B.; Novikov, S. P. 115 1976 The periodic problem for the Korteweg-de Vries equation. Zbl 0299.35017Novikov, S. P. 107 1974 The Hamiltonian formalism and a many-valued analogue of Morse theory. Zbl 0571.58011Novikov, S. P. 98 1982 Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method. Zbl 0553.35011Dubrovin, B. A.; Novikov, S. P. 85 1983 Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 76 1992 Modern geometry - methods and applications. Part I: The geometry of surfaces, transformation groups, and fields. Transl. from the Russian by Robert G. Burns. Zbl 0529.53002Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 76 1984 Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. Zbl 0565.57001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 71 1985 On Poisson brackets of hydrodynamic type. Zbl 0591.58012Dubrovin, B. A.; Novikov, S. P. 70 1984 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010Krichever, I. M.; Novikov, S. P. 67 1987 Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras. Zbl 0606.58018Balinskii, A. A.; Novikov, S. P. 67 1985 Topology of foliations. Zbl 0247.57006Novikov, S. P. 63 1965 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100Krichever, I. M.; Novikov, S. P. 56 1980 Modern geometry. Methods and applications. Textbook. (Sovremennaya geometriya. Metody i prilozheniya. Uchebnoe posobie). 2nd ed., rev. Zbl 0601.53001Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 49 1986 Multivalued functions and functionals. An analogue of the Morse theory. Zbl 0505.58011Novikov, S. P. 49 1981 Integrable systems. I. Zbl 0780.58019Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 48 1985 Finite-zone, two-dimensional, potential Schrödinger operators. Explicit formulas and evolution equations. Zbl 0613.35020Veselov, A. P.; Novikov, S. P. 48 1984 The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 41 1976 Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074Grinevich, P. G.; Novikov, S. P. 36 1988 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 34 1987 Finite-zone, two-dimensional Schrödinger operators. Potential operators. Zbl 0602.35024Veselov, A. P.; Novikov, S. P. 33 1984 Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 32 1990 On the local systems Hamiltonian in the weakly non-local Poisson brackets. Zbl 0991.37041Maltsev, A. Ya.; Novikov, S. P. 31 2001 Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations. Zbl 0609.35082Novikov, S. P.; Veselov, A. P. 30 1986 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071Krichever, I. M.; Novikov, S. P. 29 1980 The methods of algebraic topology from the viewpoint of cobordism theory. Zbl 0176.52401Novikov, S. P. 26 1969 Modern geometry. (Sovremennaya geometriya). Zbl 0433.53001Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 25 1980 Topological invariance of rational Pontrjagin classes. Zbl 0146.19502Novikov, S. P. 24 1965 Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107Novikov, S. P.; Dynnikov, I. A. 22 1997 Homotopically equivalent smooth manifolds. I. Zbl 0151.32103Novikov, S. P. 21 1964 Dynamical systems. IV: Integrable systems. Zbl 0591.58013Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 20 1985 Homotopieeigenschaften von Thom-Komplexen. Zbl 0193.51801Novikov, S. P. 20 1962 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 19 1989 A periodicity problem for the Korteweg- de Vries and Sturm-Liouville equations. Their connection with algebraic geometry. Zbl 0312.35015Dubrovin, B. A.; Novikov, S. P. 19 1974 Formal groups, power systems and Adams operators. Zbl 0222.55008Bukhshtaber, V. M.; Novikov, S. P. 18 1971 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068Krichever, I. M.; Novikov, S. P. 17 2003 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016Dynnikov, I. A.; Novikov, S. P. 15 2003 Periodic extremals of many-valued or not-everywhere-positive functionals. Zbl 0585.58009Novikov, S. P.; Taĭmanov, I. A. 15 1984 Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049Novikov, S. P.; Shubin, M. A. 14 1986 The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems. Zbl 0654.76004Novikov, S. P. 14 1985 Modern geometry. Methods of homology theory. Zbl 0582.55001Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 14 1984 Two-dimensional Schrödinger operators in periodic fields. Zbl 0564.35083Novikov, S. P. 13 1985 Ground states in a periodic field. Magnetic Bloch functions and vector bundles. Zbl 0489.46055Dubrovin, B. A.; Novikov, S. P. 13 1980 The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Zbl 0345.70011Bogojavlenskii, O. I.; Novikov, S. P. 13 1976 Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Zbl 1108.53001Novikov, S. P.; Taimanov, I. A. 12 2006 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122Krichever, I.; Novikov, S. P. 12 1999 Periodic solutions of Kirchhoff equations for the free motion of a rigid body in a fluid and the extended Lyusternik-Shnirel’man-Morse theory. I. Zbl 0571.58009Novikov, S. P.; Shmel’tser, I. 12 1982 Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078Krichever, I. M.; Novikov, S. P. 12 1979 Dynamical systems, topology, and conductivity in normal metals. Zbl 1157.82403Maltsev, A. Ya.; Novikov, S. P. 11 2004 Some problems in the topology of manifolds connected with the theory of Thom spaces. Zbl 0094.35902Novikov, S. P. 11 1960 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 10 1987 Poisson brackets and complex tori. Zbl 0565.58022Veselov, A. P.; Novikov, S. P. 10 1984 Topology of quasiperiodic functions on the plane. Zbl 1148.37043Dynnikov, I. A.; Novikov, S. P. 9 2005 Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141Novikov, S. P.; Veselov, A. P. 9 1997 Magnetic Bloch functions and vector bundles. Typical dispersion laws and their quantum numbers. Zbl 0483.46054Novikov, S. P. 9 1981 Traces of elliptic operators on submanifolds and \(K\)-theory. Zbl 0174.41302Novikov, S. P.; Sternin, B. Yu. 9 1966 Variational methods and periodic solutions of equations of Kirchhoff type. II. Zbl 0571.58010Novikov, S. P. 8 1982 Spectral theory of commuting operators of rank two with periodic coefficients. Zbl 0514.47035Novikov, S. P.; Grinevich, P. G. 8 1982 Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061Krichever, I. M.; Novikov, S. P. 8 1978 Elliptic operators and submanifolds. Zbl 0174.41303Novikov, S. P.; Sternin, B. Yu. 8 1966 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 Schrödinger operators on graphs and symplectic geometry. Zbl 0947.34072Novikov, S. P. 7 1999 Hydrodynamics of soliton lattices. Zbl 0845.58027Dubrovin, B. A.; Novikov, S. P. 7 1993 Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 7 1971 Discrete Schrödinger operators and topology. Zbl 0991.47016Novikov, S. 6 1998 Elements of differential geometry and topology. Textbook. (Ehlementy differentsial’noj geometrii i topologii. Uchebnoe posobie). Zbl 0628.53002Novikov, S. P.; Fomenko, A. T. 6 1987 Topology. Zbl 0668.55001Novikov, S. P. 6 1986 The analytic generalized Hopf invariant. Many-valued functionals. Zbl 0619.58002Novikov, S. P. 6 1984 Critical points on the level surface of multivalent functions. Zbl 0553.58005Novikov, S. P. 6 1984 Géométrie contemporaine. Méthodes et applications. Deuxième partie: Géométrie et topologie des variates. Traduit du russe par Vladimir Kotliar. Zbl 0502.53003Dubrovin, B.; Novikov, S.; Fomenko, A. 6 1982 Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082Krichever, I. M.; Novikov, S. P. 6 1979 Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 6 1972 Formal groups, power systems and Adams operators. Zbl 0239.55005Bukhshtaber, V. M.; Novikov, S. P. 6 1971 Algebraic construction and properties of Hermitian analogs of K-theory over rings with involution from the viewpoint of Hamiltonian formalism. Applications to differential topology and the theory of characteristic classes. I. Zbl 0216.45003Novikov, S. P. 6 1971 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384Grinevich, P. G.; Novikov, S. P. 5 2009 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066Grinevich, P. G.; Novikov, S. P. 5 2001 String equation. II: Physical solution. Zbl 0836.35142Grinevich, P. G.; Novikov, S. P. 5 1994 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008Arnol’d, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 5 1990 Bloch homology. Critical points of functions and closed 1-forms. Zbl 0642.58016Novikov, S. P. 5 1986 Geometry of conservative systems of hydrodynamic type. Averaging method for field-theoretical systems. Zbl 0603.76001Novikov, S. P. 5 1985 Poisson brackets and complex tori. Zbl 0581.58017Veselov, A. P.; Novikov, S. P. 5 1985 Algebro-topological approach in problems of reality. Real variable actions in the theory of finite-zonal solutions of the sine-Gordon equation. Zbl 0546.35071Novikov, S. P. 5 1984 Algebro-geometric Poisson brackets for real finite-zone solutions of the sine-Gordon equation and the nonlinear Schrödinger equation. Zbl 0574.58015Dubrovin, B. A.; Novikov, S. P. 5 1982 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 Algebraic construction and properties of hermitian analogs of K-theory over rings with involution from the viewpoint of hamiltonian formalism. Applications to differential topology and the theory of characteristic classes. II. Zbl 0233.57009Novikov, S. P. 5 1971 Methoden der algebraischen Topologie vom Standpunkt der Theorie der Kobordismen. Zbl 0169.54503Novikov, S. P. 5 1967 Rationale Pontrjagin-Klassen. Homöomorphismus und Homotopietyp geschlossener Mannigfaltigkeiten. I. Zbl 0146.19601Novikov, S. P. 5 1965 Cohomologies of Steenrod’s algebra. Zbl 0127.38804Novikov, S. 5 1959 On metric-independent exotic homology. Zbl 1119.58003Novikov, S. P. 4 2005 Quasiperiodic functions and dynamical systems in quantum solid state physics. Zbl 1035.37045Maltsev, A. Ya.; Novikov, S. P. 4 2003 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010Arnold, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 4 2001 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017Grinevich, P. G.; Novikov, S. P. 4 1995 Quasiperiodic structures in topology. Zbl 0813.57029Novikov, S. P. 4 1993 Géométrie contemporaine. Méthodes et applications. Premiere partie: Géométrie des surfaces, des groupes de transformations et des champs. Traduit du russe par Vladimir Kotliar. Zbl 0502.53002Dubrovin, B.; Novikov, S.; Fomenko, A. 4 1982 Holomorphic bundles and nonlinear equations. Zbl 1194.37104Krichever, I. M.; Novikov, S. P. 4 1981 Adams operators and fixed points. Zbl 0193.51901Novikov, S. P. 4 1970 Diffeomorphisms of simply connected manifolds. Zbl 0142.40804Novikov, S. P. 4 1962 The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems. Zbl 1431.82037Mal’tsev, A. Ya.; Novikov, S. P. 1 2018 On \(s\)-meromorphic ordinary differential operators. Zbl 1418.34159Grinevich, P. G.; Novikov, S. P. 1 2016 On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator. Zbl 1330.81080Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2015 Spectrally meromorphic operators and non-linear systems. Zbl 1320.47046Grinevich, P. G.; Novikov, S. P. 2 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Singular soliton operators and indefinite metrics. Zbl 1319.34153Grinevich, Petr G.; Novikov, Sergey P. 3 2013 Discrete \(SL_{n}\)-connections and self-adjoint difference operators on 2-dimensional manifolds. Zbl 1282.39006Grinevich, P. G.; Novikov, S. P. 2 2013 Leonid Vital’evich Kantorovich (on the 100th anniversary of his birth). Zbl 1253.01043Vershik, A. M.; Kutateladze, S. S.; Novikov, S. P. 1 2012 Singular solitons and indefinite metrics. Zbl 1248.34132Grinevich, P. G.; Novikov, S. P. 3 2011 New discretization of complex analysis: the Euclidean and hyperbolic planes. Zbl 1296.30057Novikov, S. P. 2 2011 Erratum to: “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles”. Zbl 1278.81065Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2011 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles. Zbl 1255.81136Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2010 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384Grinevich, P. G.; Novikov, S. P. 5 2009 Dynamical systems and differential forms. Low dimensional Hamiltonian systems. Zbl 1156.58003Novikov, S. P. 1 2008 Topological library. Part 1: Cobordisms and their applications. Translated by V. O. Manturov. Zbl 1121.55003Novikov, S. P. (ed.); Taimanov, I. A. (ed.) 1 2007 Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Zbl 1108.53001Novikov, S. P.; Taimanov, I. A. 12 2006 Topology of quasiperiodic functions on the plane. Zbl 1148.37043Dynnikov, I. A.; Novikov, S. P. 9 2005 On metric-independent exotic homology. Zbl 1119.58003Novikov, S. P. 4 2005 Topology of generic Hamiltonian foliations on Riemann surfaces. Zbl 1109.37036Novikov, S. P. 1 2005 Dynamical systems, topology, and conductivity in normal metals. Zbl 1157.82403Maltsev, A. Ya.; Novikov, S. P. 11 2004 Topology in the 20th century: a view from the inside. Zbl 1068.01008Novikov, S. P. 2 2004 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501Novikov, S. P. (ed.); Rokhlin, V. A. (ed.); Gamkrelidze, R. V. (ed.) 2 2004 Discrete connections and difference linear equations. Zbl 1109.39020Novikov, S. P. 1 2004 Topological and algebraic geometry methods in contemporary mathematical physics. Zbl 1107.37003Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 1 2004 The second half of the 20th century and its conclusion: crisis in the physics and mathematics community in Russia and in the West. Zbl 1062.01016Novikov, S. P. 1 2004 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068Krichever, I. M.; Novikov, S. P. 17 2003 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016Dynnikov, I. A.; Novikov, S. P. 15 2003 Quasiperiodic functions and dynamical systems in quantum solid state physics. Zbl 1035.37045Maltsev, A. Ya.; Novikov, S. P. 4 2003 Topological charge of the real periodic finite-gap sine-Gordon solutions. Zbl 1044.35071Grinevich, P. G.; Novikov, S. P. 2 2003 Topological phenomena in the real periodic sine-Gordon theory. Zbl 1062.35114Grinevich, P. G.; Novikov, S. P. 1 2003 The second half of the 20th century and its results: the crisis of the society of physicists and mathematicians in Russia and in the West. Zbl 1034.01017Novikov, S. P. 3 2002 Andrei Aleksandrovich Gonchar (on the occasion of his seventieth birthday). Zbl 1049.01518Bolibrukh, A. A.; Vitushkin, A. G.; Vladimirov, V. S.; Mishchenko, E. F.; Novikov, S. P.; Osipov, Yu. S.; Sergeev, A. G.; Ul’yanov, P. L.; Faddeev, L. D.; Chirka, E. M. 2 2002 On the local systems Hamiltonian in the weakly non-local Poisson brackets. Zbl 0991.37041Maltsev, A. Ya.; Novikov, S. P. 31 2001 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066Grinevich, P. G.; Novikov, S. P. 5 2001 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010Arnold, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 4 2001 Holomorphic bundles and commuting difference operators. Two-point constructions. Zbl 0978.35066Krichever, I. M.; Novikov, S. P. 2 2000 1. Classical and modern topology. 2. Topological phenomena in real world physics. Zbl 1122.01332Novikov, Sergey P. 1 2000 Algebraic aspects of the theory of multiplications in complex cobordism theory. Zbl 0971.57038Botvinnik, B. I.; Buchshtaber, V. M.; Novikov, S. P.; Yuzvinskij, S. A. 1 2000 Holomorphic bundles and scalar difference operators: single-point constructions. Zbl 1101.14315Krichever, I. M.; Novikov, S. P. 1 2000 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122Krichever, I.; Novikov, S. P. 12 1999 Schrödinger operators on graphs and symplectic geometry. Zbl 0947.34072Novikov, S. P. 7 1999 Trivalent graphs and solitons. Zbl 0981.37023Krichever, I. M.; Novikov, S. P. 3 1999 Levels of quasiperiodic functions on a plane, and Hamiltonian systems. Zbl 0984.37061Novikov, S. P. 3 1999 Discrete Lagrangian systems on graphs. Symplectic-topological properties. Zbl 0952.37011Novikov, S. P.; Shvarts, A. S. 1 1999 Discrete Schrödinger operators and topology. Zbl 0991.47016Novikov, S. 6 1998 Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107Novikov, S. P.; Dynnikov, I. A. 22 1997 Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141Novikov, S. P.; Veselov, A. P. 9 1997 The Schrödinger operator on graphs and topology. Zbl 0925.34114Novikov, S. P. 2 1997 Laplace transforms and simplicial connections. Zbl 0928.39009Dynnikov, I. A.; Novikov, S. P. 2 1997 Solitons, geometry, and topology: on the crossroad. Zbl 0871.00030Buchstaber, V. M. (ed.); Novikov, S. P. (ed.) 2 1997 Algebraic properties of two-dimensional difference operators. Zbl 0903.34072Novikov, S. P. 1 1997 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 3 1996 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017Grinevich, P. G.; Novikov, S. P. 4 1995 The semiclassical electron in a magnetic field and lattice. Some problems of low dimensional “periodic” topology. Zbl 0853.57014Novikov, S. P. 3 1995 Exactly soluble periodic two-dimensional Schrödinger operators. Zbl 0855.35031Veselov, A. P.; Novikov, S. P. 2 1995 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018Osipov, Yu. S.; Gonchar, A. A.; Novikov, S. P.; Arnol’d, V. I.; Marchuk, G. I.; Kulish, P. P.; Vladimirov, V. S.; Mishchenko, E. F. 1 1995 String equation. II: Physical solution. Zbl 0836.35142Grinevich, P. G.; Novikov, S. P. 5 1994 Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013Arnol’d, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 1 1994 Hydrodynamics of soliton lattices. Zbl 0845.58027Dubrovin, B. A.; Novikov, S. P. 7 1993 Quasiperiodic structures in topology. Zbl 0813.57029Novikov, S. P. 4 1993 The Liouville form of averaged Poisson brackets. Zbl 0807.58016Novikov, S. P.; Mal’tsev, A. Ya. 1 1993 Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 76 1992 Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms. Zbl 0807.16037Novikov, S. P. 3 1992 Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 32 1990 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008Arnol’d, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) 5 1990 Basic elements of differential geometry and topology. Transl. from the Russian by M. V. Tsaplina. Zbl 0711.53001Novikov, S. P.; Fomenko, A. T. 3 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031Krichever, I. M.; Novikov, S. P. 3 1990 Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory. Zbl 0734.35114Novikov, S. P. 2 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0791.30040Novikov, S. P. 1 1990 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory. Zbl 0712.58032Dubrovin, B. A.; Novikov, S. P. 140 1989 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 19 1989 Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074Grinevich, P. G.; Novikov, S. P. 36 1988 Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator’s theory of closed strings. Zbl 0707.17015Krichever, I. M.; Novikov, S. P. 2 1988 Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions. Zbl 0704.35137Grinevich, P. G.; Novikov, S. P. 2 1988 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010Krichever, I. M.; Novikov, S. P. 67 1987 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 34 1987 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 10 1987 Elements of differential geometry and topology. Textbook. (Ehlementy differentsial’noj geometrii i topologii. Uchebnoe posobie). Zbl 0628.53002Novikov, S. P.; Fomenko, A. T. 6 1987 Modern geometry. Methods and applications. Textbook. (Sovremennaya geometriya. Metody i prilozheniya. Uchebnoe posobie). 2nd ed., rev. Zbl 0601.53001Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 49 1986 Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations. Zbl 0609.35082Novikov, S. P.; Veselov, A. P. 30 1986 Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049Novikov, S. P.; Shubin, M. A. 14 1986 Topology. Zbl 0668.55001Novikov, S. P. 6 1986 Bloch homology. Critical points of functions and closed 1-forms. Zbl 0642.58016Novikov, S. P. 5 1986 Topology. Zbl 0839.55001Novikov, Sergej P. 3 1986 Critical points and level surfaces of multivalued functions. Zbl 0588.58006Novikov, S. P. 1 1986 Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. Zbl 0565.57001Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 71 1985 Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras. Zbl 0606.58018Balinskii, A. A.; Novikov, S. P. 67 1985 Integrable systems. I. Zbl 0780.58019Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 48 1985 Dynamical systems. IV: Integrable systems. Zbl 0591.58013Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 20 1985 The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems. Zbl 0654.76004Novikov, S. P. 14 1985 Two-dimensional Schrödinger operators in periodic fields. Zbl 0564.35083Novikov, S. P. 13 1985 Geometry of conservative systems of hydrodynamic type. Averaging method for field-theoretical systems. Zbl 0603.76001Novikov, S. P. 5 1985 Poisson brackets and complex tori. Zbl 0581.58017Veselov, A. P.; Novikov, S. P. 5 1985 Analytic homotopy theory. Rigidity of homotopy integrals. Zbl 0603.55010Novikov, S. P. 1 1985 Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation. Zbl 0582.35104Novikov, S. P. 1 1985 Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E. 572 1984 Modern geometry - methods and applications. Part I: The geometry of surfaces, transformation groups, and fields. Transl. from the Russian by Robert G. Burns. Zbl 0529.53002Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 76 1984 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,587 Authors 38 Geng, Xianguo 33 Ma, Wen-Xiu 32 Ferapontov, Evgeny Vladimirovich 29 Grinevich, Pëtr Georgievich 26 Krichever, Igor’ Moiseevich 25 Gerdzhikov, Vladimir Stefanov 23 Veselov, Alexander Petrovich 22 Konopelchenko, Boris Georgievich 21 Novikov, Sergeĭ Petrovich 21 Prykarpatsky, Anatoliy Karolevych 21 Taimanov, Iskander Asanovich 19 Bukhshtaber, Viktor Matveevich 19 Novikov, Roman G. 18 Pavlov, Maxim V. 17 Mironov, Andreĭ Evgen’evich 16 Dubrovin, Boris Anatol’evich 15 Sheĭnman, Oleg Karlovich 14 Fan, Engui 14 Samoĭlenko, Valeriĭ Grygorovych 13 Biondini, Gino 13 El, Gennady A. 13 Gesztesy, Fritz 13 Lorenzoni, Paolo 13 Malomed, Boris A. 13 Mokhov, Oleg I. 13 Pogrebkov, Andrei K. 13 Santini, Paolo Maria 13 Simon, Barry 13 Zakharov, Vladimir Evgen’evich 12 Khabibullin, Ismagil Talgatovich 12 Shabat, Alekseĭ Borisovich 11 Bai, Chengming 11 Bobenko, Alexander Ivanovich 11 Bogoyavlenskij, Oleg Igorevich 11 Chen, Jinbing 11 Johnson, Russell Allan 11 Mal’tsev, Andreĭ Yakovlevich 11 Shamolin, Maksim Vladimirovich 10 Dragović, Vladimir 10 Dubrovsky, V. 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