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Vasil’ev, Viktor Anatol’evich

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Author ID: vassiliev.victor-a Recent zbMATH articles by "Vasil’ev, Viktor Anatol’evich"
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
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
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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

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 1015.57003
Vassiliev, V. A.
41
2001
Topology of complements to discriminants and loop spaces. Zbl 0731.32017
Vassiliev, V. A.
32
1990
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.
19
1998
Newton’s Principia read 300 years later. Zbl 0693.01005
Arnol’d, V. I.; Vasil’ev, V. A.
15
1989
Asymptotic exponential integrals. Newton’s diagram, and the classification of minimal points. Zbl 0418.28001
Vasil’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 0762.55001
Vasil’ev, V. A.
12
1992
Applied Picard-Lefschetz theory. Zbl 1039.32039
Vassiliev, V. A.
11
2002
Complexes of connected graphs. Zbl 0812.55005
Vassiliev, V. A.
10
1993
Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015
Vassiliev, V. A.
10
2015
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.
8
2009
Invariants of ornaments. Zbl 0854.57011
Vassiliev, Victor 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.
7
1993
Braid group cohomologies and algorithm complexity. Zbl 0674.68040
Vasil’ev, V. A.
6
1988
Topology of plane arrangements and their complements. Zbl 1002.55015
Vasil’ev, V. A.
6
2001
On invariants and homology of spaces of knots in arbitrary manifolds. Zbl 0929.57004
Vassiliev, V. A.
6
1998
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.
6
2009
Topology of two-connected graphs and homology of spaces of knots. Zbl 0941.57006
Vassiliev, 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 1354.01038
Arnold, Vladimir I.
6
2014
Holonomic links and Smale principles for multisingularities. Zbl 0888.57004
Vassiliev, Victor A.
6
1997
Ramified integrals, singularities and lacunas. Zbl 0935.32026
Vassiliev, V. A.
6
1995
Topology of spaces of functions without compound singularities. Zbl 0731.58009
Vasil’ev, V. A.
5
1989
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
Topology of discriminants and their complements. Zbl 0852.55003
Vassiliev, Victor A.
5
1995
Topological order complexes and resolutions of discriminant sets. Zbl 0953.55011
Vassiliev, V. A.
5
1999
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
Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001
Vassiliev, V. A.
5
2001
Cohomology of knot spaces. Zbl 0727.57008
Vasil’ev, V. A.
4
1990
Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\). Zbl 1427.55006
Vassiliev, V. A.
4
2018
Homology groups of spaces of non-resultant quadratic polynomial systems in \({\mathbb R}^3\). Zbl 1375.55011
Vassiliev, Victor A.
4
2016
Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017
Grishanov, S. A.; Vassiliev, V. A.
4
2011
Resolutions of discriminants and topology of their complements. Zbl 0991.58014
Vassiliev, Victor
4
2001
On \(r\)-neighbourly submanifolds in \(\mathbb{R}^N\). Zbl 0922.57020
Vassiliev, Victor A.
4
1998
An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065
Vassilev, Vassil; Genova, Krassimira
3
1991
Topological complexity of root-finding algorithms. Zbl 0864.57029
Vassiliev, Victor A.
3
1996
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
Cohomologies of braid groups and complexity of algorithms. Zbl 0659.68071
Vasil’ev, V. A.
3
1988
Asymptotic behavior of exponential integrals in the complex domain. Zbl 0435.32002
Vasil’ev, V. A.
3
1980
Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010
Grishanov, S. A.; Vassiliev, V. A.
3
2008
Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013
Arnol’d, V. I.; Vasil’ev, V. A.
3
1990
On finite order invariants of triple point free plane curves. Zbl 0964.57018
Vassiliev, V. A.
3
1999
Homology of spaces of knots in any dimensions. Zbl 0994.55010
Vassiliev, V. A.
3
2001
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
Combinatorial formulas for cohomology of spaces of knots. Zbl 1089.57013
Vassiliev, V. A.
2
2004
First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in \(\mathbb R^n\). Zbl 1113.55014
Vassiliev, V. A.
2
2005
Efficiency analysis of a filtering algorithm for discrete-time linear stochastic systems with polynomial measurements. Zbl 1415.93267
Stepanov, 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 0976.57024
Vassiliev, V. A.
2
1999
Knot invariants and singularity theory. Zbl 0969.58012
Vassiliev, Victor A.
2
1995
Lacunas and local algebraicity of volume functions. Zbl 1402.53059
Vassiliev, V. A.
2
2018
Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\). Zbl 1386.55019
Vassiliev, V. A.
2
2017
Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations. Zbl 1356.35014
Vassiliev, Victor A.
2
2016
On topological invariants of real algebraic functions. Zbl 1271.57002
Vassiliev, V. A.
2
2011
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
How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008
Vasil’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 0826.55001
Vasil’ev, V. A.
2
1994
A few problems on monodromy and discriminants. Zbl 1320.14015
Vassiliev, V. A.
2
2015
On spaces of polynomial knots. Zbl 0871.57011
Vassiliev, V. A.
2
1996
New examples of locally algebraically integrable bodies. Zbl 1434.52006
Vassiliev, V. A.
1
2019
Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001
Vasil’ev, V. A.
1
1988
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
An analog of the Bondareva-Shapley theorem. II: Examples of \(V \)-balanced fuzzy games. Zbl 1458.91027
Vasil’ev, V. A.
1
2021
Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Zbl 0514.57004
Vasil’ev, V. A.
1
1982
The asymptotic of exponential integrals in complex space. Zbl 0429.32004
Vasil’ev, V. A.
1
1979
Topological complexity and Schwarz genus of general real polynomial equation. Zbl 1279.68109
Vassiliev, V. A.
1
2011
Homology of spaces of homogeneous polynomials in \({\mathbb{R}}^2\) without multiple zeros. Zbl 0945.55009
Vasil’ev, V. A.
1
1998
Topological complexity and real roots of polynomials. Zbl 0897.68055
Vassiliev, V. A.
1
1996
Spaces of Hermitian operators with simple spectra and their finite-order cohomology. Zbl 1047.47052
Vassiliev, V. A.
1
2003
Singularities. II: Classification and applications. Zbl 0707.58005
Arnol’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 1462.91002
Vasil’ev, V. A.
1
2021
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
Efficiency analysis of a filtering algorithm for discrete-time linear stochastic systems with polynomial measurements. Zbl 1415.93267
Stepanov, O. A.; Vasiliev, V. A.; Toropov, A. B.; Loparev, A. V.; Basin, M. V.
2
2019
New examples of locally algebraically integrable bodies. Zbl 1434.52006
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.
2
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.
2
2016
Newton’s lemma XXVIII on integrable ovals in higher dimensions and reflection groups. Zbl 1315.14015
Vassiliev, V. A.
10
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
A few problems on monodromy and discriminants. Zbl 1320.14015
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.
6
2014
Invariants of links in 3-manifolds and splitting problem of textile structures. Zbl 1221.57017
Grishanov, S. A.; Vassiliev, V. A.
4
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.
8
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.
6
2009
Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. Zbl 1154.57010
Grishanov, 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 1113.55014
Vassiliev, V. A.
2
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.
11
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.
6
2001
Introduction to topology. Transl. from the Russian by A. Sossinski. Zbl 0971.57001
Vassiliev, V. A.
5
2001
Resolutions of discriminants and topology of their complements. Zbl 0991.58014
Vassiliev, Victor
4
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.
3
1999
Homology of \(i\)-connected graphs and invariants of knots, plane arrangements, etc. Zbl 0976.57024
Vassiliev, V. A.
2
1999
How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. Zbl 0981.55008
Vasil’ev, 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.
19
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.
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.
6
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.
2
1994
Complexes of connected graphs. Zbl 0812.55005
Vassiliev, V. A.
10
1993
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.
7
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.
12
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.
32
1990
Cohomology of knot spaces. Zbl 0727.57008
Vasil’ev, V. A.
4
1990
Addendum to: “Newton’s Principia read 300 years later”. Zbl 1194.01013
Arnol’d, V. I.; Vasil’ev, V. A.
3
1990
Newton’s Principia read 300 years later. Zbl 0693.01005
Arnol’d, V. I.; Vasil’ev, V. A.
15
1989
Topology of spaces of functions without compound singularities. Zbl 0731.58009
Vasil’ev, V. A.
5
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
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
Singularities. Local and global theory. Zbl 0787.58001
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.
3
1988
Lagrange and Legendre characteristic classes. Transl. from the Russian. Zbl 0715.53001
Vasil’ev, V. A.
1
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.
1
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.
15
1978
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

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