Edit Profile (opens in new tab) Vasil’ev, Viktor Anatol’evich Co-Author Distance Author ID: vassiliev.victor-a Published as: Vassiliev, V. A.; Vasil’ev, V. A.; Vassiliev, Victor A.; Vassiliev, V.; Vassiliev, Victor; Vassil’ev, V. A.; Vassiliev, V. A; Vasil’ev, V. A more...less Homepage: http://www.mi.ras.ru/~vva/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 139 Publications since 1977, including 8 Books and 13 Additional arXiv Preprints 12 Contributions as Editor Biographic References: 2 Publications Co-Authors: 132 Co-Authors with 42 Joint Publications 4,324 Co-Co-Authors all top 5 Co-Authors 107 single-authored 11 Arnol’d, Vladimir Igorevich 7 Khovanskiĭ, Askold Georgievich 7 Lando, Sergei K. 6 Goryunov, Victor V. 6 Ilyashenko, Yulij Sergeevich 6 Varchenko, Alexander Nikolaevich 5 Grishanov, Sergei A. 5 Khesin, Boris A. 5 Lyashko, O. V. 4 Bukhshtaber, Viktor Matveevich 4 Fuchs, Dmitry Borisovich 4 Givental, Alexander Borisovich 4 Sosinskiĭ, Alekseĭ Bronislavovich 4 Viro, Oleg Ya. 3 Gel’fand, Israil’ Moiseevich 3 Krichever, Igor’ Moiseevich 3 Novikov, Sergeĭ Petrovich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Sevryuk, Mikhail Borisovich 3 Tsfasman, Michael A. 3 van Straten, Duco 3 Vershik, Anatoliĭ Moiseevich 3 Zelevinskiĭ, Andreĭ V. 2 Anosov, Dmitriĭ Viktorovich 2 Chernavskiĭ, Alekseĭ Viktorovich 2 Chmutov, Sergei V. 2 Gamkrelidze, Revaz Valerianovich 2 Gusein-Zade, Sabir M. 2 Karev, Maksim V. 2 Kozlov, Valeriĭ Vasil’evich 2 Krasil’shchik, Joseph 2 Manin, Yuriĭ Ivanovich 2 Mnëv, Nikolai Evgen’evich 2 Némethi, András 2 Panina, Gaiane Yu. 2 Parshin, Alekseĭ Nikolaevich 2 Scherbak, Inna 2 Schwarz, Albert S. 2 Serganova, Vera V. 2 Shafarevich, Igor’ Rostislavovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Treshchev, Dmitriĭ Valer’evich 1 Agrachev, Andreĭ Aleksandrovich 1 Agranovsky, Mark L. 1 Alexandrov, Victor A. 1 Aminov, Yurii Akhmetovich 1 Aptekarev, Alexander Ivanovich 1 Arlazarov, Vladimir L’vovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Bogaevskij, Il’ya Aleksandrovich 1 Boman, Jan 1 Bortakovskii, A. S. 1 Budak, A. B. 1 Bugaenko, V. O. 1 Chetverikov, Vladimir N. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Chubarikov, Vladimir Nikolaevich 1 Davydov, Alekseĭ Aleksandrovich 1 Dolbilin, Nikolaĭ Petrovich 1 Dorichenko, S. A. 1 Dynnikov, Ivan Alekseevich 1 Etingof, Pavel Il’ich 1 Feĭgin, Boris L’vovich 1 Filippov, Vladimir Mikhaĭlovich 1 Fomenko, Anatoliĭ Timofeevich 1 Fomenko, Valentin Trofimovich 1 Fominykh, Evgeny Anatol’evich 1 Genova, Krassimira 1 Gonchar, Andreĭ Aleksandrovich 1 Gromov, Mikhael Leonidovich 1 Gussein-Zade, S. 1 Helemskii, Alexander Ya. 1 Hofer, Helmut H. W. 1 Il’in, Vladimir Aleksandrovich 1 Imaikin, Valery 1 Iskovskikh, Vasiliĭ Alekseevich 1 Kac, Victor 1 Kaledin, Dmitry B. 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Karpenkov, Oleg Nikolaevich 1 Kashin, Boris Sergeevich 1 Kazaryan, Maxim Eduardovich 1 Kesel’man, V. M. 1 Khor’kova, Nina Grigor’evna 1 Koldobsky, Alexander L. 1 Komarov, S. I. 1 Kontsevich, Maxim 1 Kosmann-Schwarzbach, Yvette 1 Krasil’shchik, Iosif Semënovich 1 Krishchenko, Alexander P. 1 Kruzhilin, Nikolai Georgievich 1 Kryazhimskiĭ, Arkadiĭ Viktorovich 1 Kulikov, Viktor Stepanovich 1 Kushnirenko, A. G. 1 Loktev, Sergey A. 1 Lychagin, Valentin V. 1 Lysov, Yu. P. 1 Margulis, Grigoriĭ Aleksandrovich ...and 38 more Co-Authors all top 5 Serials 11 Russian Mathematical Surveys 11 Functional Analysis and its Applications 8 Moscow Mathematical Journal 6 Funktsional’nyĭ Analiz i ego Prilozheniya 6 Journal of Knot Theory and its Ramifications 4 Arnold Mathematical Journal 3 Mathematical Notes 3 Automation and Remote Control 3 Notices of the American Mathematical Society 3 Doklady Mathematics 3 Oberwolfach Reports 3 Translations of Mathematical Monographs 2 Bulletin of the London Mathematical Society 2 Topology and its Applications 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Journal of Singularities 2 Translations. Series 2. American Mathematical Society 1 Matematicheskie Zametki 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Pacific Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Siberian Mathematical Journal 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Combinatorica 1 Algebra i Analiz 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advanced Studies in Contemporary Mathematics (New York) 1 Encyclopaedia of Mathematical Sciences 1 Mathematics and its Applications (Dordrecht) 1 Mathematical Surveys and Monographs 1 Proceedings of the Steklov Institute of Mathematics 1 Student Mathematical Library all top 5 Fields 56 Manifolds and cell complexes (57-XX) 42 Global analysis, analysis on manifolds (58-XX) 39 Algebraic topology (55-XX) 26 Algebraic geometry (14-XX) 21 History and biography (01-XX) 21 Several complex variables and analytic spaces (32-XX) 8 Partial differential equations (35-XX) 8 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 7 Group theory and generalizations (20-XX) 6 Combinatorics (05-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 473 times in 365 Documents Cited by ▼ Year ▼ Combinatorial formulas for cohomology of knot spaces. Zbl 1015.57003 Vassiliev, V. A. 41 2001 Topology of complements to discriminants and loop spaces. Zbl 0731.32017 Vassiliev, V. A. 34 1990 Cohomology of knot spaces. Zbl 0727.57008 Vasil’ev, V. A. 30 1990 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Zbl 0762.55001 Vasil’ev, V. A. 26 1992 Singularity theory I. Transl. from the Russian by A. Iacob. 2nd printing of the 1st ed. 1993. Zbl 0901.58001 Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vasil’ev, V. A. 22 1998 Newton’s Principia read 300 years later. Zbl 0693.01005 Arnol’d, V. I.; Vasil’ev, V. A. 19 1989 Asymptotic exponential integrals. Newton’s diagram, and the classification of minimal points. Zbl 0418.28001 Vasil’ev, V. A. 17 1978 Applied Picard-Lefschetz theory. Zbl 1039.32039 Vassiliev, V. A. 15 2002 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 14 1993 Complexes of connected graphs. Zbl 0812.55005 Vassiliev, V. A. 12 1993 Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015 Vassiliev, V. A. 10 2015 Topology of plane arrangements and their complements. Zbl 1002.55015 Vasil’ev, V. A. 9 2001 Topology of spaces of functions without compound singularities. Zbl 0731.58009 Vasil’ev, V. A. 9 1989 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006 Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 Recognizing textile structures by finite type knot invariants. Zbl 1172.57300 Grishanov, S. A.; Meshkov, V. R.; Vassiliev, V. A. 9 2009 Invariants of ornaments. Zbl 0854.57011 Vassiliev, Victor A. 8 1994 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Rev. ed. Zbl 0826.55001 Vasil’ev, V. A. 8 1994 Ramified integrals, singularities and lacunas. Zbl 0935.32026 Vassiliev, V. A. 7 1995 Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\). Zbl 1207.57018 Grishanov, S. A.; Vassiliev, V. A. 7 2009 Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Zbl 1354.01038 Arnold, Vladimir I. 7 2014 Topology of two-connected graphs and homology of spaces of knots. Zbl 0941.57006 Vassiliev, Victor A. 6 1999 Resolutions of discriminants and topology of their complements. Zbl 0991.58014 Vassiliev, Victor 6 2001 Braid group cohomologies and algorithm complexity. Zbl 0674.68040 Vasil’ev, V. A. 6 1988 Holonomic links and Smale principles for multisingularities. Zbl 0888.57004 Vassiliev, Victor A. 6 1997 On invariants and homology of spaces of knots in arbitrary manifolds. Zbl 0929.57004 Vassiliev, V. A. 6 1998 Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001 Vasil’ev, V. A. 6 1988 Topological order complexes and resolutions of discriminant sets. Zbl 0953.55011 Vassiliev, V. A. 5 1999 Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001 Vassiliev, V. A. 5 2001 Singularities. Local and global theory. Zbl 0787.58001 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 On function spaces that are interpolating at any \(k\) nodes. Zbl 0805.41003 Vasil’ev, V. A. 5 1992 Invariants of knots and complements of discriminants. Zbl 0895.57001 Vassiliev, Victor A. 5 1993 Topology of discriminants and their complements. Zbl 0852.55003 Vassiliev, Victor A. 5 1995 Singularities. I: The local and global theory. Zbl 0691.58002 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017 Grishanov, S. A.; Vassiliev, V. A. 5 2011 On \(r\)-neighbourly submanifolds in \(\mathbb{R}^N\). Zbl 0922.57020 Vassiliev, Victor A. 4 1998 Homology groups of spaces of non-resultant quadratic polynomial systems in \({\mathbb R}^3\). Zbl 1375.55011 Vassiliev, Victor A. 4 2016 On finite order invariants of triple point free plane curves. Zbl 0964.57018 Vassiliev, V. A. 4 1999 How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008 Vasil’ev, V. A. 4 1999 Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\). Zbl 1427.55006 Vassiliev, V. A. 4 2018 Cohomologies of braid groups and complexity of algorithms. Zbl 0659.68071 Vasil’ev, V. A. 4 1988 Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010 Grishanov, S. A.; Vassiliev, V. A. 4 2008 Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013 Arnol’d, V. I.; Vasil’ev, V. A. 4 1990 A few problems on monodromy and discriminants. Zbl 1320.14015 Vassiliev, V. A. 3 2015 Asymptotic behavior of exponential integrals in the complex domain. Zbl 0435.32002 Vasil’ev, V. A. 3 1980 Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\). Zbl 1335.55015 Vassiliev, V. A. 3 2015 Topological complexity of root-finding algorithms. Zbl 0864.57029 Vassiliev, Victor A. 3 1996 Homology of spaces of knots in any dimensions. Zbl 0994.55010 Vassiliev, V. A. 3 2001 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008 Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V. 3 1987 Sharpness and the local Petrovskiĭ condition for strictly hyperbolic operators with constant coefficients. Zbl 0615.35012 Vasil’ev, V. A. 3 1987 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065 Vassilev, Vassil; Genova, Krassimira 3 1991 Lacunas and local algebraicity of volume functions. Zbl 1402.53059 Vassiliev, V. A. 3 2018 First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in \(\mathbb R^n\). Zbl 1113.55014 Vassiliev, V. A. 3 2005 Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations. Zbl 1356.35014 Vassiliev, Victor A. 3 2016 Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\). Zbl 1408.13076 Vassiliev, V. A. 2 2015 Homology of \(i\)-connected graphs and invariants of knots, plane arrangements, etc. Zbl 0976.57024 Vassiliev, V. A. 2 1999 Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\). Zbl 1386.55019 Vassiliev, V. A. 2 2017 Homology of spaces of homogeneous polynomials in \({\mathbb{R}}^2\) without multiple zeros. Zbl 0945.55009 Vasil’ev, V. A. 2 1998 Knot invariants and singularity theory. Zbl 0969.58012 Vassiliev, Victor A. 2 1995 Combinatorial formulas for cohomology of spaces of knots. Zbl 1089.57013 Vassiliev, V. A. 2 2004 Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Zbl 0514.57004 Vasil’ev, V. A. 2 1982 On topological invariants of real algebraic functions. Zbl 1271.57002 Vassiliev, V. A. 2 2011 On spaces of polynomial knots. Zbl 0871.57011 Vassiliev, V. A. 2 1996 The asymptotic of exponential integrals in complex space. Zbl 0429.32004 Vasil’ev, V. A. 1 1979 Singularities. II: Classification and applications. Zbl 0707.58005 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 1 1989 Topological complexity and real roots of polynomials. Zbl 0897.68055 Vassiliev, V. A. 1 1996 Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Zbl 0896.00014 1 1998 Spaces of Hermitian operators with simple spectra and their finite-order cohomology. Zbl 1047.47052 Vassiliev, V. A. 1 2003 A geometric realization of the homology of classical Lie groups, and complexes S-dual to flag manifolds. Zbl 0791.57024 Vasil’ev, V. A. 1 1991 Geometry of local lacunas of hyperbolic operators with constant coefficients. Zbl 0773.35038 Vasil’ev, V. A. 1 1992 On the core and Shapley value for regular polynomial games. Zbl 1482.91013 Vasil’ev, V. A. 1 2022 An analog of the Bondareva-Shapley theorem. II: Examples of \(V \)-balanced fuzzy games. Zbl 1458.91027 Vasil’ev, V. A. 1 2021 Core and superdifferential of a fuzzy \(TU \)-cooperative game. Zbl 1462.91002 Vasil’ev, V. A. 1 2021 New examples of locally algebraically integrable bodies. Zbl 1434.52006 Vassiliev, V. A. 1 2019 New examples of irreducible local diffusion of hyperbolic PDE’s. Zbl 1435.35012 Vassiliev, Victor A. 1 2020 Homology of the complex of not 2-divisible partitions. Zbl 1443.55004 Vassiliev, V. A. 1 2020 Topological complexity and Schwarz genus of general real polynomial equation. Zbl 1279.68109 Vassiliev, V. A. 1 2011 Nonadditive integration and some solutions of cooperative games. Zbl 1496.91014 Vasil’ev, V. A. 1 2022 On the core and Shapley value for regular polynomial games. Zbl 1482.91013 Vasil’ev, V. A. 1 2022 Nonadditive integration and some solutions of cooperative games. Zbl 1496.91014 Vasil’ev, V. A. 1 2022 An analog of the Bondareva-Shapley theorem. II: Examples of \(V \)-balanced fuzzy games. Zbl 1458.91027 Vasil’ev, V. A. 1 2021 Core and superdifferential of a fuzzy \(TU \)-cooperative game. Zbl 1462.91002 Vasil’ev, V. A. 1 2021 New examples of irreducible local diffusion of hyperbolic PDE’s. Zbl 1435.35012 Vassiliev, Victor A. 1 2020 Homology of the complex of not 2-divisible partitions. Zbl 1443.55004 Vassiliev, V. A. 1 2020 New examples of locally algebraically integrable bodies. Zbl 1434.52006 Vassiliev, V. A. 1 2019 Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\). Zbl 1427.55006 Vassiliev, V. A. 4 2018 Lacunas and local algebraicity of volume functions. Zbl 1402.53059 Vassiliev, V. A. 3 2018 Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\). Zbl 1386.55019 Vassiliev, V. A. 2 2017 Homology groups of spaces of non-resultant quadratic polynomial systems in \({\mathbb R}^3\). Zbl 1375.55011 Vassiliev, Victor A. 4 2016 Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations. Zbl 1356.35014 Vassiliev, Victor A. 3 2016 Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015 Vassiliev, V. A. 10 2015 A few problems on monodromy and discriminants. Zbl 1320.14015 Vassiliev, V. A. 3 2015 Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\). Zbl 1335.55015 Vassiliev, V. A. 3 2015 Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\). Zbl 1408.13076 Vassiliev, V. A. 2 2015 Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Zbl 1354.01038 Arnold, Vladimir I. 7 2014 Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017 Grishanov, S. A.; Vassiliev, V. A. 5 2011 On topological invariants of real algebraic functions. Zbl 1271.57002 Vassiliev, V. A. 2 2011 Topological complexity and Schwarz genus of general real polynomial equation. Zbl 1279.68109 Vassiliev, V. A. 1 2011 Recognizing textile structures by finite type knot invariants. Zbl 1172.57300 Grishanov, S. A.; Meshkov, V. R.; Vassiliev, V. A. 9 2009 Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\). Zbl 1207.57018 Grishanov, S. A.; Vassiliev, V. A. 7 2009 Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010 Grishanov, S. A.; Vassiliev, V. A. 4 2008 First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in \(\mathbb R^n\). Zbl 1113.55014 Vassiliev, V. A. 3 2005 Combinatorial formulas for cohomology of spaces of knots. Zbl 1089.57013 Vassiliev, V. A. 2 2004 Spaces of Hermitian operators with simple spectra and their finite-order cohomology. Zbl 1047.47052 Vassiliev, V. A. 1 2003 Applied Picard-Lefschetz theory. Zbl 1039.32039 Vassiliev, V. A. 15 2002 Combinatorial formulas for cohomology of knot spaces. Zbl 1015.57003 Vassiliev, V. A. 41 2001 Topology of plane arrangements and their complements. Zbl 1002.55015 Vasil’ev, V. A. 9 2001 Resolutions of discriminants and topology of their complements. Zbl 0991.58014 Vassiliev, Victor 6 2001 Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001 Vassiliev, V. A. 5 2001 Homology of spaces of knots in any dimensions. Zbl 0994.55010 Vassiliev, V. A. 3 2001 Topology of two-connected graphs and homology of spaces of knots. Zbl 0941.57006 Vassiliev, Victor A. 6 1999 Topological order complexes and resolutions of discriminant sets. Zbl 0953.55011 Vassiliev, V. A. 5 1999 On finite order invariants of triple point free plane curves. Zbl 0964.57018 Vassiliev, V. A. 4 1999 How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008 Vasil’ev, V. A. 4 1999 Homology of \(i\)-connected graphs and invariants of knots, plane arrangements, etc. Zbl 0976.57024 Vassiliev, V. A. 2 1999 Singularity theory I. Transl. from the Russian by A. Iacob. 2nd printing of the 1st ed. 1993. Zbl 0901.58001 Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vasil’ev, V. A. 22 1998 On invariants and homology of spaces of knots in arbitrary manifolds. Zbl 0929.57004 Vassiliev, V. A. 6 1998 On \(r\)-neighbourly submanifolds in \(\mathbb{R}^N\). Zbl 0922.57020 Vassiliev, Victor A. 4 1998 Homology of spaces of homogeneous polynomials in \({\mathbb{R}}^2\) without multiple zeros. Zbl 0945.55009 Vasil’ev, V. A. 2 1998 Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Zbl 0896.00014 1 1998 Holonomic links and Smale principles for multisingularities. Zbl 0888.57004 Vassiliev, Victor A. 6 1997 Topological complexity of root-finding algorithms. Zbl 0864.57029 Vassiliev, Victor A. 3 1996 On spaces of polynomial knots. Zbl 0871.57011 Vassiliev, V. A. 2 1996 Topological complexity and real roots of polynomials. Zbl 0897.68055 Vassiliev, V. A. 1 1996 Ramified integrals, singularities and lacunas. Zbl 0935.32026 Vassiliev, V. A. 7 1995 Topology of discriminants and their complements. Zbl 0852.55003 Vassiliev, Victor A. 5 1995 Knot invariants and singularity theory. Zbl 0969.58012 Vassiliev, Victor A. 2 1995 Invariants of ornaments. Zbl 0854.57011 Vassiliev, Victor A. 8 1994 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Rev. ed. Zbl 0826.55001 Vasil’ev, V. A. 8 1994 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 14 1993 Complexes of connected graphs. Zbl 0812.55005 Vassiliev, V. A. 12 1993 Invariants of knots and complements of discriminants. Zbl 0895.57001 Vassiliev, Victor A. 5 1993 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Zbl 0762.55001 Vasil’ev, V. A. 26 1992 On function spaces that are interpolating at any \(k\) nodes. Zbl 0805.41003 Vasil’ev, V. A. 5 1992 Geometry of local lacunas of hyperbolic operators with constant coefficients. Zbl 0773.35038 Vasil’ev, V. A. 1 1992 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065 Vassilev, Vassil; Genova, Krassimira 3 1991 A geometric realization of the homology of classical Lie groups, and complexes S-dual to flag manifolds. Zbl 0791.57024 Vasil’ev, V. A. 1 1991 Topology of complements to discriminants and loop spaces. Zbl 0731.32017 Vassiliev, V. A. 34 1990 Cohomology of knot spaces. Zbl 0727.57008 Vasil’ev, V. A. 30 1990 Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013 Arnol’d, V. I.; Vasil’ev, V. A. 4 1990 Newton’s Principia read 300 years later. Zbl 0693.01005 Arnol’d, V. I.; Vasil’ev, V. A. 19 1989 Topology of spaces of functions without compound singularities. Zbl 0731.58009 Vasil’ev, V. A. 9 1989 Singularities. II: Classification and applications. Zbl 0707.58005 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 1 1989 Braid group cohomologies and algorithm complexity. Zbl 0674.68040 Vasil’ev, V. A. 6 1988 Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001 Vasil’ev, V. A. 6 1988 Singularities. Local and global theory. Zbl 0787.58001 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Singularities. I: The local and global theory. Zbl 0691.58002 Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Cohomologies of braid groups and complexity of algorithms. Zbl 0659.68071 Vasil’ev, V. A. 4 1988 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006 Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008 Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V. 3 1987 Sharpness and the local Petrovskiĭ condition for strictly hyperbolic operators with constant coefficients. Zbl 0615.35012 Vasil’ev, V. A. 3 1987 Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Zbl 0514.57004 Vasil’ev, V. A. 2 1982 Asymptotic behavior of exponential integrals in the complex domain. Zbl 0435.32002 Vasil’ev, V. A. 3 1980 The asymptotic of exponential integrals in complex space. Zbl 0429.32004 Vasil’ev, V. A. 1 1979 Asymptotic exponential integrals. Newton’s diagram, and the classification of minimal points. Zbl 0418.28001 Vasil’ev, V. A. 17 1978 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 22 Vasil’ev, Viktor Anatol’evich 7 Jeong, Myeong-Ju 5 Grishanov, Sergei A. 5 Koseleff, Pierre-Vincent 5 Pecker, Daniel 5 Turchin, Victor Éduardovich 4 Agranovsky, Mark L. 4 Ceniceros, Jose 4 Feichtner-Kozlov, Dimitry N. 4 Habiro, Kazuo 4 Park, Chan-Young 4 Zenkina, M. V. 3 Allenov, S. V. 3 Baryshnikov, Yuliy M. 3 Blagojević, Pavle V. M. 3 Churchill, Indu R. U. 3 Elhamdadi, Mohamed 3 Farber, Michael S. 3 Goryunov, Victor V. 3 Hanßmann, Heinz 3 Ito, Noboru 3 Kaiser, Uwe 3 Kalai, Gil 3 Kanenobu, Taizo 3 Karasev, Roman N. 3 Kozlowski, Andrzej 3 Manturov, Vassiliĭ Olegovich 3 Ohyama, Yoshiyuki 3 Thurston, Dylan Paul 3 Weiss, Michael S. 3 Yamaguchi, Kohhei 3 Ziegler, Günter Matthias 2 Antony, Noelle 2 Bérard, Alain 2 Bérczi, Gergely 2 Birman, Joan S. 2 Blanc, David Abraham 2 Brini, Andrea 2 Broer, Henk W. 2 Caputi, Luigi 2 Chernov, Vladimir V. 2 Cohen, Frederick Ronald 2 Collari, Carlo 2 Di Trani, Sabino 2 Dye, Heather Ann 2 Ekholm, Tobias 2 Eliyashev, Yury V. 2 Feldbrugge, Job 2 Gamkrelidze, Alexander 2 Gel’fand, Israil’ Moiseevich 2 Givental, Alexander Borisovich 2 Grandati, Yves 2 Greenblatt, Michael 2 Hajij, Mustafa 2 Jefferies, Brian R. F. 2 Kamimoto, Joe 2 Katz, Gabriel 2 Kirwan, Frances Clare 2 Kohno, Toshitake 2 Kudryavtseva, Elena A. 2 Labastida, José M. F. 2 Lando, Sergei K. 2 Lichtin, Ben 2 Lin, Fang Hua 2 Lück, Wolfgang 2 Matsuo, Atsushi 2 Meilhan, Jean-Baptiste 2 Meshulam, Roy 2 Mikhalkin, Evgeniĭ N. 2 Mohrbach, Hervé 2 Mortier, Arnaud 2 Nikkuni, Ryo 2 Nowik, Tahl 2 Pragacz, Piotr 2 Qiu, Jian 2 Randal-Williams, Oscar 2 Rouillier, Fabrice 2 Soares Ruas, Maria Aparecida 2 Rudyak, Yuli B. 2 Sedykh, Vyacheslav Dmitrievich 2 Shekhtman, Boris 2 Shvalb, Nir 2 Sinha, Dev P. 2 Stepanenko, Vitaly Anatolievich 2 Stoimenow, Alexander 2 Szűcs, András 2 Tabachnikov, Serge L. 2 Tsikh, Avgust Karlovich 2 Volovikov, Aleksej Yur’evich 2 Yang, Yisong 2 You, Jiangong 2 Zinova, Polina Aleksandrovna 2 Živaljević, Rade T. 1 Abdullaev, Janikul I. 1 Albers, Peter 1 Albouy, Alain 1 Alcala, Andrey 1 Alpert, Hannah 1 Alsaeed, Suliman 1 Arnold, John M. ...and 327 more Authors all top 5 Cited in 137 Serials 35 Journal of Knot Theory and its Ramifications 32 Topology and its Applications 16 Algebraic & Geometric Topology 11 Journal of Mathematical Sciences (New York) 9 Geometry & Topology 8 Functional Analysis and its Applications 8 Arnold Mathematical Journal 7 Transactions of the American Mathematical Society 6 Communications in Mathematical Physics 6 Advances in Mathematics 6 Journal of Pure and Applied Algebra 6 Sbornik: Mathematics 5 Nuclear Physics. B 5 Annales de l’Institut Fourier 5 Doklady Mathematics 4 Israel Journal of Mathematics 4 Mathematical Notes 4 Inventiones Mathematicae 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Annalen 3 Communications in Algebra 3 Journal d’Analyse Mathématique 3 Journal of Geometry and Physics 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Journal of Complexity 3 Annals of Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Singularities 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Combinatorial Theory. Series A 2 Journal of Combinatorial Theory. Series B 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Mathematika 2 Proceedings of the London Mathematical Society. Third Series 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Journal of Symbolic Computation 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Celestial Mechanics and Dynamical Astronomy 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Mathematical Problems in Engineering 2 Regular and Chaotic Dynamics 2 Journal of High Energy Physics 2 JP Journal of Geometry and Topology 2 Forum of Mathematics, Sigma 2 Research in the Mathematical Sciences 2 Journal of Siberian Federal University. Mathematics & Physics 2 Graduate Journal of Mathematics 1 International Journal of Modern Physics A 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Applied Mathematics and Computation 1 Automatica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Optimization 1 Constructive Approximation 1 Statistical Science 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences ...and 37 more Serials all top 5 Cited in 51 Fields 192 Manifolds and cell complexes (57-XX) 64 Algebraic topology (55-XX) 62 Algebraic geometry (14-XX) 36 Combinatorics (05-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Several complex variables and analytic spaces (32-XX) 30 Differential geometry (53-XX) 24 Quantum theory (81-XX) 23 Group theory and generalizations (20-XX) 18 Convex and discrete geometry (52-XX) 17 Nonassociative rings and algebras (17-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Category theory; homological algebra (18-XX) 13 Partial differential equations (35-XX) 12 Number theory (11-XX) 11 Mechanics of particles and systems (70-XX) 10 Ordinary differential equations (34-XX) 10 Computer science (68-XX) 9 Associative rings and algebras (16-XX) 8 Commutative algebra (13-XX) 8 Functions of a complex variable (30-XX) 6 Field theory and polynomials (12-XX) 6 Integral transforms, operational calculus (44-XX) 6 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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