Edit Profile (opens in new tab) Vasil’ev, Viktor Anatol’evich Compute Distance To: Compute 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: 121 Publications since 1977, including 8 Books 11 Contributions as Editor Biographic References: 2 Publications Co-Authors: 116 Co-Authors with 40 Joint Publications 3,846 Co-Co-Authors all top 5 Co-Authors 90 single-authored 10 Arnol’d, Vladimir Igorevich 7 Lando, Sergei K. 6 Goryunov, Victor V. 6 Khovanskiĭ, Askold Georgievich 6 Varchenko, Alexander Nikolaevich 5 Grishanov, Sergei A. 5 Ilyashenko, Yulij Sergeevich 5 Lyashko, O. V. 4 Bukhshtaber, Viktor Matveevich 4 Khesin, Boris A. 4 Sosinskiĭ, Alekseĭ Bronislavovich 3 Fuchs, Dmitry Borisovich 3 Gel’fand, Israil’ Moiseevich 3 Givental, Alexander Borisovich 3 Krichever, Igor’ Moiseevich 3 Novikov, Sergeĭ Petrovich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Tsfasman, Michael A. 3 van Straten, Duco 3 Vershik, Anatoliĭ Moiseevich 3 Viro, Oleg Ya. 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 Kozlov, Valeriĭ Vasil’evich 2 Krasil’shchik, Joseph 2 Manin, Yuri Ivanovich 2 Mnëv, Nikolai Evgen’evich 2 Némethi, András 2 Parshin, Alexei N. 2 Scherbak, Inna 2 Schwarz, Albert S. 2 Serganova, Vera V. 2 Sevryuk, Mikhail Borisovich 2 Shafarevich, Igor’ Rostislavovich 2 Treshchev, Dmitriĭ Valer’evich 1 Agrachev, Andreĭ Aleksandrovich 1 Alexandrov, Victor A. 1 Aminov, Yurii Akhmetovich 1 Aptekarev, Alexander Ivanovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Basin, Michael V. 1 Bocharov, Alexei V. 1 Bogaevskij, Il’ya Aleksandrovich 1 Bortakovskii, A. S. 1 Budak, A. B. 1 Chetverikov, Vladimir N. 1 Chirka, Evgeni M. 1 Chubarikov, Vladimir Nikolaevich 1 Davydov, Alekseĭ Aleksandrovich 1 Dolbilin, Nikolaĭ Petrovich 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 Gussein-Zade, S. 1 Helemskii, Alexander Ya. 1 Hofer, Helmut H. W. 1 Il’in, Vladimir Aleksandrovich 1 Iskovskikh, Vasiliĭ Alekseevich 1 Kac, Victor G. 1 Kaledin, Dmitry B. 1 Karpenkov, Oleg Nikolaevich 1 Kashin, Boris Sergeevich 1 Kazaryan, Maxim Eduardovich 1 Kesel’man, V. M. 1 Khor’kova, Nina Grigor’evna 1 Kirillov, Alexandre Aleksandrovich 1 Kontsevich, Maxim Lvovich 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 Loktev, Sergey A. 1 Loparev, A. V. 1 Lychagin, Valentin V. 1 Margulis, Grigoriĭ Aleksandrovich 1 Maslov, Viktor Pavlovich 1 Meshkov, Vadim R. 1 Mishchenko, Aleksandr Sergeevich 1 Natanzon, Sergei M. 1 Nemirovskiĭ, Stefan Yur’evich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Orlov, Dmitri O. 1 Rubtsov, Vladimir Nikolaevich 1 Rybnikov, Leonid Grigor’evich 1 Sadovnichiĭ, Viktor Antonovich 1 Samokhin, Alexey V. 1 Sedykh, Vyacheslav Dmitrievich ...and 22 more Co-Authors all top 5 Serials 11 Functional Analysis and its Applications 10 Russian Mathematical Surveys 7 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 Translations. Series 2. American Mathematical Society 1 Journal of the Franklin Institute 1 Matematicheskie Zametki 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 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 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 1 Journal of Singularities all top 5 Fields 52 Manifolds and cell complexes (57-XX) 41 Global analysis, analysis on manifolds (58-XX) 35 Algebraic topology (55-XX) 21 Several complex variables and analytic spaces (32-XX) 19 History and biography (01-XX) 18 Algebraic geometry (14-XX) 8 Partial differential equations (35-XX) 8 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 5 Differential geometry (53-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-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 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-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 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 383 times in 283 Documents Cited by ▼ Year ▼ Combinatorial formulas for cohomology of knot spaces. Zbl 1015.57003Vassiliev, V. A. 41 2001 Topology of complements to discriminants and loop spaces. Zbl 0731.32017Vassiliev, V. A. 32 1990 Singularity theory I. Transl. from the Russian by A. Iacob. 2nd printing of the 1st ed. 1993. Zbl 0901.58001Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vasil’ev, V. A. 19 1998 Newton’s Principia read 300 years later. Zbl 0693.01005Arnol’d, V. I.; Vasil’ev, V. A. 15 1989 Asymptotic exponential integrals. Newton’s diagram, and the classification of minimal points. Zbl 0418.28001Vasil’ev, V. A. 15 1978 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Zbl 0762.55001Vasil’ev, V. A. 12 1992 Applied Picard-Lefschetz theory. Zbl 1039.32039Vassiliev, V. A. 11 2002 Complexes of connected graphs. Zbl 0812.55005Vassiliev, V. A. 10 1993 Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015Vassiliev, V. A. 10 2015 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 Recognizing textile structures by finite type knot invariants. Zbl 1172.57300Grishanov, S. A.; Meshkov, V. R.; Vassiliev, V. A. 8 2009 Invariants of ornaments. Zbl 0854.57011Vassiliev, Victor A. 8 1994 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 7 1993 Braid group cohomologies and algorithm complexity. Zbl 0674.68040Vasil’ev, V. A. 6 1988 Topology of plane arrangements and their complements. Zbl 1002.55015Vasil’ev, V. A. 6 2001 On invariants and homology of spaces of knots in arbitrary manifolds. Zbl 0929.57004Vassiliev, V. A. 6 1998 Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\). Zbl 1207.57018Grishanov, S. A.; Vassiliev, V. A. 6 2009 Topology of two-connected graphs and homology of spaces of knots. Zbl 0941.57006Vassiliev, Victor A. 6 1999 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 1354.01038Arnold, Vladimir I. 6 2014 Holonomic links and Smale principles for multisingularities. Zbl 0888.57004Vassiliev, Victor A. 6 1997 Ramified integrals, singularities and lacunas. Zbl 0935.32026Vassiliev, V. A. 6 1995 Topology of spaces of functions without compound singularities. Zbl 0731.58009Vasil’ev, V. A. 5 1989 Singularities. I: The local and global theory. Zbl 0691.58002Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Topology of discriminants and their complements. Zbl 0852.55003Vassiliev, Victor A. 5 1995 Topological order complexes and resolutions of discriminant sets. Zbl 0953.55011Vassiliev, V. A. 5 1999 Singularities. Local and global theory. Zbl 0787.58001Arnol’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 0805.41003Vasil’ev, V. A. 5 1992 Invariants of knots and complements of discriminants. Zbl 0895.57001Vassiliev, Victor A. 5 1993 Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001Vassiliev, V. A. 5 2001 Cohomology of knot spaces. Zbl 0727.57008Vasil’ev, V. A. 4 1990 Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\). Zbl 1427.55006Vassiliev, V. A. 4 2018 Homology groups of spaces of non-resultant quadratic polynomial systems in \({\mathbb R}^3\). Zbl 1375.55011Vassiliev, Victor A. 4 2016 Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017Grishanov, S. A.; Vassiliev, V. A. 4 2011 Resolutions of discriminants and topology of their complements. Zbl 0991.58014Vassiliev, Victor 4 2001 On \(r\)-neighbourly submanifolds in \(\mathbb{R}^N\). Zbl 0922.57020Vassiliev, Victor A. 4 1998 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065Vassilev, Vassil; Genova, Krassimira 3 1991 Topological complexity of root-finding algorithms. Zbl 0864.57029Vassiliev, Victor A. 3 1996 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008Vasil’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 0615.35012Vasil’ev, V. A. 3 1987 Cohomologies of braid groups and complexity of algorithms. Zbl 0659.68071Vasil’ev, V. A. 3 1988 Asymptotic behavior of exponential integrals in the complex domain. Zbl 0435.32002Vasil’ev, V. A. 3 1980 Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010Grishanov, S. A.; Vassiliev, V. A. 3 2008 Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013Arnol’d, V. I.; Vasil’ev, V. A. 3 1990 On finite order invariants of triple point free plane curves. Zbl 0964.57018Vassiliev, V. A. 3 1999 Homology of spaces of knots in any dimensions. Zbl 0994.55010Vassiliev, V. A. 3 2001 Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\). Zbl 1335.55015Vassiliev, V. A. 3 2015 Combinatorial formulas for cohomology of spaces of knots. Zbl 1089.57013Vassiliev, V. A. 2 2004 First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in \(\mathbb R^n\). Zbl 1113.55014Vassiliev, V. A. 2 2005 Efficiency analysis of a filtering algorithm for discrete-time linear stochastic systems with polynomial measurements. Zbl 1415.93267Stepanov, O. A.; Vasiliev, V. A.; Toropov, A. B.; Loparev, A. V.; Basin, M. V. 2 2019 Homology of \(i\)-connected graphs and invariants of knots, plane arrangements, etc. Zbl 0976.57024Vassiliev, V. A. 2 1999 Knot invariants and singularity theory. Zbl 0969.58012Vassiliev, Victor A. 2 1995 Lacunas and local algebraicity of volume functions. Zbl 1402.53059Vassiliev, V. A. 2 2018 Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\). Zbl 1386.55019Vassiliev, V. A. 2 2017 Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations. Zbl 1356.35014Vassiliev, Victor A. 2 2016 On topological invariants of real algebraic functions. Zbl 1271.57002Vassiliev, V. A. 2 2011 Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\). Zbl 1408.13076Vassiliev, V. A. 2 2015 How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008Vasil’ev, V. A. 2 1999 Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Rev. ed. Zbl 0826.55001Vasil’ev, V. A. 2 1994 A few problems on monodromy and discriminants. Zbl 1320.14015Vassiliev, V. A. 2 2015 On spaces of polynomial knots. Zbl 0871.57011Vassiliev, V. A. 2 1996 New examples of locally algebraically integrable bodies. Zbl 1434.52006Vassiliev, V. A. 1 2019 Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001Vasil’ev, V. A. 1 1988 A geometric realization of the homology of classical Lie groups, and complexes S-dual to flag manifolds. Zbl 0791.57024Vasil’ev, V. A. 1 1991 Geometry of local lacunas of hyperbolic operators with constant coefficients. Zbl 0773.35038Vasil’ev, V. A. 1 1992 An analog of the Bondareva-Shapley theorem. II: Examples of \(V \)-balanced fuzzy games. Zbl 1458.91027Vasil’ev, V. A. 1 2021 Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Zbl 0514.57004Vasil’ev, V. A. 1 1982 The asymptotic of exponential integrals in complex space. Zbl 0429.32004Vasil’ev, V. A. 1 1979 Topological complexity and Schwarz genus of general real polynomial equation. Zbl 1279.68109Vassiliev, V. A. 1 2011 Homology of spaces of homogeneous polynomials in \({\mathbb{R}}^2\) without multiple zeros. Zbl 0945.55009Vasil’ev, V. A. 1 1998 Topological complexity and real roots of polynomials. Zbl 0897.68055Vassiliev, V. A. 1 1996 Spaces of Hermitian operators with simple spectra and their finite-order cohomology. Zbl 1047.47052Vassiliev, V. A. 1 2003 Singularities. II: Classification and applications. Zbl 0707.58005Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 1 1989 Core and superdifferential of a fuzzy \(TU \)-cooperative game. Zbl 1462.91002Vasil’ev, V. A. 1 2021 An analog of the Bondareva-Shapley theorem. II: Examples of \(V \)-balanced fuzzy games. Zbl 1458.91027Vasil’ev, V. A. 1 2021 Core and superdifferential of a fuzzy \(TU \)-cooperative game. Zbl 1462.91002Vasil’ev, V. A. 1 2021 Efficiency analysis of a filtering algorithm for discrete-time linear stochastic systems with polynomial measurements. Zbl 1415.93267Stepanov, O. A.; Vasiliev, V. A.; Toropov, A. B.; Loparev, A. V.; Basin, M. V. 2 2019 New examples of locally algebraically integrable bodies. Zbl 1434.52006Vassiliev, V. A. 1 2019 Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\). Zbl 1427.55006Vassiliev, V. A. 4 2018 Lacunas and local algebraicity of volume functions. Zbl 1402.53059Vassiliev, V. A. 2 2018 Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\). Zbl 1386.55019Vassiliev, V. A. 2 2017 Homology groups of spaces of non-resultant quadratic polynomial systems in \({\mathbb R}^3\). Zbl 1375.55011Vassiliev, Victor A. 4 2016 Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations. Zbl 1356.35014Vassiliev, Victor A. 2 2016 Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015Vassiliev, V. A. 10 2015 Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\). Zbl 1335.55015Vassiliev, V. A. 3 2015 Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\). Zbl 1408.13076Vassiliev, V. A. 2 2015 A few problems on monodromy and discriminants. Zbl 1320.14015Vassiliev, 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 1354.01038Arnold, Vladimir I. 6 2014 Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017Grishanov, S. A.; Vassiliev, V. A. 4 2011 On topological invariants of real algebraic functions. Zbl 1271.57002Vassiliev, V. A. 2 2011 Topological complexity and Schwarz genus of general real polynomial equation. Zbl 1279.68109Vassiliev, V. A. 1 2011 Recognizing textile structures by finite type knot invariants. Zbl 1172.57300Grishanov, S. A.; Meshkov, V. R.; Vassiliev, V. A. 8 2009 Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\). Zbl 1207.57018Grishanov, S. A.; Vassiliev, V. A. 6 2009 Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010Grishanov, S. A.; Vassiliev, V. A. 3 2008 First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in \(\mathbb R^n\). Zbl 1113.55014Vassiliev, V. A. 2 2005 Combinatorial formulas for cohomology of spaces of knots. Zbl 1089.57013Vassiliev, V. A. 2 2004 Spaces of Hermitian operators with simple spectra and their finite-order cohomology. Zbl 1047.47052Vassiliev, V. A. 1 2003 Applied Picard-Lefschetz theory. Zbl 1039.32039Vassiliev, V. A. 11 2002 Combinatorial formulas for cohomology of knot spaces. Zbl 1015.57003Vassiliev, V. A. 41 2001 Topology of plane arrangements and their complements. Zbl 1002.55015Vasil’ev, V. A. 6 2001 Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001Vassiliev, V. A. 5 2001 Resolutions of discriminants and topology of their complements. Zbl 0991.58014Vassiliev, Victor 4 2001 Homology of spaces of knots in any dimensions. Zbl 0994.55010Vassiliev, V. A. 3 2001 Topology of two-connected graphs and homology of spaces of knots. Zbl 0941.57006Vassiliev, Victor A. 6 1999 Topological order complexes and resolutions of discriminant sets. Zbl 0953.55011Vassiliev, V. A. 5 1999 On finite order invariants of triple point free plane curves. Zbl 0964.57018Vassiliev, V. A. 3 1999 Homology of \(i\)-connected graphs and invariants of knots, plane arrangements, etc. Zbl 0976.57024Vassiliev, V. A. 2 1999 How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008Vasil’ev, V. A. 2 1999 Singularity theory I. Transl. from the Russian by A. Iacob. 2nd printing of the 1st ed. 1993. Zbl 0901.58001Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vasil’ev, V. A. 19 1998 On invariants and homology of spaces of knots in arbitrary manifolds. Zbl 0929.57004Vassiliev, V. A. 6 1998 On \(r\)-neighbourly submanifolds in \(\mathbb{R}^N\). Zbl 0922.57020Vassiliev, Victor A. 4 1998 Homology of spaces of homogeneous polynomials in \({\mathbb{R}}^2\) without multiple zeros. Zbl 0945.55009Vasil’ev, V. A. 1 1998 Holonomic links and Smale principles for multisingularities. Zbl 0888.57004Vassiliev, Victor A. 6 1997 Topological complexity of root-finding algorithms. Zbl 0864.57029Vassiliev, Victor A. 3 1996 On spaces of polynomial knots. Zbl 0871.57011Vassiliev, V. A. 2 1996 Topological complexity and real roots of polynomials. Zbl 0897.68055Vassiliev, V. A. 1 1996 Ramified integrals, singularities and lacunas. Zbl 0935.32026Vassiliev, V. A. 6 1995 Topology of discriminants and their complements. Zbl 0852.55003Vassiliev, Victor A. 5 1995 Knot invariants and singularity theory. Zbl 0969.58012Vassiliev, Victor A. 2 1995 Invariants of ornaments. Zbl 0854.57011Vassiliev, 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 0826.55001Vasil’ev, V. A. 2 1994 Complexes of connected graphs. Zbl 0812.55005Vassiliev, V. A. 10 1993 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 7 1993 Invariants of knots and complements of discriminants. Zbl 0895.57001Vassiliev, 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 0762.55001Vasil’ev, V. A. 12 1992 On function spaces that are interpolating at any \(k\) nodes. Zbl 0805.41003Vasil’ev, V. A. 5 1992 Geometry of local lacunas of hyperbolic operators with constant coefficients. Zbl 0773.35038Vasil’ev, V. A. 1 1992 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065Vassilev, Vassil; Genova, Krassimira 3 1991 A geometric realization of the homology of classical Lie groups, and complexes S-dual to flag manifolds. Zbl 0791.57024Vasil’ev, V. A. 1 1991 Topology of complements to discriminants and loop spaces. Zbl 0731.32017Vassiliev, V. A. 32 1990 Cohomology of knot spaces. Zbl 0727.57008Vasil’ev, V. A. 4 1990 Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013Arnol’d, V. I.; Vasil’ev, V. A. 3 1990 Newton’s Principia read 300 years later. Zbl 0693.01005Arnol’d, V. I.; Vasil’ev, V. A. 15 1989 Topology of spaces of functions without compound singularities. Zbl 0731.58009Vasil’ev, V. A. 5 1989 Singularities. II: Classification and applications. Zbl 0707.58005Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 1 1989 Braid group cohomologies and algorithm complexity. Zbl 0674.68040Vasil’ev, V. A. 6 1988 Singularities. I: The local and global theory. Zbl 0691.58002Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Singularities. Local and global theory. Zbl 0787.58001Arnol’d, V. I.; Vasil’ev, V. A.; Goryunov, V. V.; Lyashko, O. V. 5 1988 Cohomologies of braid groups and complexity of algorithms. Zbl 0659.68071Vasil’ev, V. A. 3 1988 Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001Vasil’ev, V. A. 1 1988 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008Vasil’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 0615.35012Vasil’ev, V. A. 3 1987 Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Zbl 0514.57004Vasil’ev, V. A. 1 1982 Asymptotic behavior of exponential integrals in the complex domain. Zbl 0435.32002Vasil’ev, V. A. 3 1980 The asymptotic of exponential integrals in complex space. Zbl 0429.32004Vasil’ev, V. A. 1 1979 Asymptotic exponential integrals. Newton’s diagram, and the classification of minimal points. Zbl 0418.28001Vasil’ev, V. A. 15 1978 all cited Publications top 5 cited Publications all top 5 Cited by 332 Authors 22 Vasil’ev, Viktor Anatol’evich 7 Jeong, Myeong-Ju 5 Grishanov, Sergei A. 5 Koseleff, Pierre-Vincent 5 Pecker, Daniel 4 Agranovsky, Mark L. 4 Park, Chan-Young 4 Turchin, Victor Éduardovich 4 Zenkina, M. V. 3 Allenov, S. V. 3 Blagojević, Pavle V. M. 3 Feichtner-Kozlov, Dimitry N. 3 Habiro, Kazuo 3 Kaiser, Uwe 3 Kanenobu, Taizo 3 Karasev, Roman N. 3 Ohyama, Yoshiyuki 3 Ziegler, Günter Matthias 2 Antony, Noelle 2 Bérard, Alain 2 Blanc, David Abraham 2 Brini, Andrea 2 Chernov, Vladimir V. 2 Cohen, Frederick Ronald 2 Dye, Heather Ann 2 Ekholm, Tobias 2 Eliyashev, Yury V. 2 Farber, Michael S. 2 Gamkrelidze, Alexander 2 Gel’fand, Israil’ Moiseevich 2 Givental, Alexander Borisovich 2 Goryunov, Victor V. 2 Grandati, Yves 2 Greenblatt, Michael 2 Hanßmann, Heinz 2 Jefferies, Brian R. F. 2 Kalai, Gil 2 Kamimoto, Joe 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 Manturov, Vassiliĭ Olegovich 2 Matsuo, Atsushi 2 Meilhan, Jean-Baptiste 2 Mikhalkin, Evgeniĭ N. 2 Mohrbach, Hervé 2 Mortier, Arnaud 2 Nikkuni, Ryo 2 Nowik, Tahl 2 Pragacz, Piotr 2 Raundal, Hitesh 2 Rouillier, Fabrice 2 Rudyak, Yuli B. 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 Weiss, Michael S. 2 Yang, Yisong 2 Živaljević, Rade T. 1 Abdullaev, Janikul I. 1 Albers, Peter 1 Albouy, Alain 1 Alsaeed, Suliman 1 Arnold, John M. 1 Aroca, Fuensanta 1 Arone, Gregory Z. 1 Baladze, Vladimer 1 Bamberger, Hagay 1 Barnett, Kathryn 1 Baryshnikov, Yuliy M. 1 Belitskii, Genrich R. 1 Bérczi, Gergely 1 Berest, Yuri Yu. 1 Berglund, Per 1 Bergqvist, Magnus 1 Birman, Joan S. 1 Bogaevskij, Il’ya Aleksandrovich 1 Boman, Jan 1 Borcea, Julius 1 Boyle, Michael 1 Brandenbursky, Michael 1 Braun, Andreas P. 1 Breiding, Paul 1 Brochier, Adrien 1 Broer, Henk W. 1 Brugallé, Erwan 1 Budney, Ryan David 1 Buffenoir, E. 1 Capitanio, Gianmarco 1 Carlet, Guido ...and 232 more Authors all top 5 Cited in 111 Serials 29 Topology and its Applications 27 Journal of Knot Theory and its Ramifications 14 Algebraic & Geometric Topology 11 Journal of Mathematical Sciences (New York) 9 Geometry & Topology 8 Functional Analysis and its Applications 7 Transactions of the American Mathematical Society 6 Advances in Mathematics 6 Arnold Mathematical Journal 5 Communications in Mathematical Physics 5 Nuclear Physics. B 5 Annales de l’Institut Fourier 5 Journal of Pure and Applied Algebra 5 Doklady Mathematics 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Journal of Complexity 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Journal of Geometry and Physics 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Differential Equations 2 Mathematische Annalen 2 European Journal of Combinatorics 2 Journal of Symbolic Computation 2 International Journal of Mathematics 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 Sbornik: Mathematics 2 Mathematical Problems in Engineering 2 Regular and Chaotic Dynamics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Research in the Mathematical Sciences 1 International Journal of Modern Physics A 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 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 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 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 The Journal of Geometric Analysis 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Annals of Physics 1 Historia Mathematica 1 Journal of Elasticity 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Imaging and Vision 1 Advances in Applied Clifford Algebras 1 Selecta Mathematica. New Series 1 The Ramanujan Journal 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Brazilian Mathematical Society. New Series ...and 11 more Serials all top 5 Cited in 50 Fields 148 Manifolds and cell complexes (57-XX) 50 Algebraic topology (55-XX) 46 Algebraic geometry (14-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Several complex variables and analytic spaces (32-XX) 20 Combinatorics (05-XX) 20 Differential geometry (53-XX) 19 Quantum theory (81-XX) 16 Group theory and generalizations (20-XX) 14 Nonassociative rings and algebras (17-XX) 13 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Convex and discrete geometry (52-XX) 11 Number theory (11-XX) 8 Category theory; homological algebra (18-XX) 8 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 7 Functions of a complex variable (30-XX) 6 Commutative algebra (13-XX) 6 Integral transforms, operational calculus (44-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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