V. A. Vassiliev

Generating author description...

All published works

Action	Title	Year	Authors
+	Complements of discriminants of simple real function singularities	2024	V. A. Vassiliev
+ PDF Chat	To the isotopy classification of Morse polynomials of degree 3 in ${\mathbb R}^3$	2024	V. A. Vassiliev
+ PDF Chat	Complements of caustics of real function singularities	2024	V. A. Vassiliev
+	Cohomology of spaces of Hopf equivariant maps of spheres	2024	V. A. Vassiliev
+ PDF Chat	Varieties of chord diagrams, braid group cohomology and degeneration of equality conditions	2023	V. A. Vassiliev
+	Cohomology of Spaces of Complex Knots	2023	V. A. Vassiliev
+ PDF Chat	Algebraically integrable bodies and related properties of the Radon transform	2023	Mark Agranovsky Jan Boman Alexander Koldobsky V. A. Vassiliev Vladyslav Yaskin
+	On the homology of spaces of equivariant maps	2023	V. A. Vassiliev
+	Complements of discriminants of real singularities of type $X_{10}$	2023	V. A. Vassiliev
+	Average intersection number of trigonometric plane curves in $L_2$ and $W_2^r$ statistics	2023	V. A. Vassiliev
+	Complements of caustics of real function singularities	2023	V. A. Vassiliev
+ PDF Chat	Complements of Discriminants of Real Parabolic Function Singularities	2023	V. A. Vassiliev
+	To the rigid isotopy classification of Morse polynomials of degree 4 in ${\mathbb R}^2$	2023	V. A. Vassiliev
+	Cohomology of spaces of complex knots	2022	V. A. Vassiliev
+	Complements of discriminants of real parabolic function singularities	2022	V. A. Vassiliev
+	Algebraically integrable bodies and related properties of the Radon transform	2022	Mark Agranovsky Jan Boman Alexander Koldobsky V. A. Vassiliev Vladyslav Yaskin
+	Cohomology of spaces of Hopf equivariant maps of spheres	2021	V. A. Vassiliev
+	Complements of discriminants of simple real function singularities	2021	V. A. Vassiliev
+	Varieties of chord diagrams, braid group cohomology and degeneration of equality conditions	2021	V. A. Vassiliev
+	Cohomology of spaces of Hopf equivariant maps of spheres	2021	V. A. Vassiliev
+	Algebroidally Integrable Bodies	2020	V. A. Vassiliev
+	Alexandre Mikhailovich Vinogradov	2020	A. M. Astashov И.В. Асташова A. Bocharov V. M. Buchstaber V. A. Vassiliev Alexander Verbovetsky A. M. Vershik А. П. Веселов Michael M. Vinogradov Luca Vitagliano
+ PDF Chat	Alexandre Mikhailovich Vinogradov (obituary)	2020	A M Astashov И.В. Асташова Aleksei Vadimovich Bocharov Victor Matveevich Buchstaber V. A. Vassiliev Alexander Verbovetsky Анатолий Моисеевич Вершик А. П. Веселов Michael M. Vinogradov L Vitagliano
+ PDF Chat	New Examples of Irreducible Local Diffusion of Hyperbolic PDE's	2020	V. A. Vassiliev
+	Homology of the complex of not 2-divisible partitions	2020	V. A. Vassiliev
+	Integrable bodies in odd-dimensional spaces	2020	V. A. Vassiliev
+ PDF Chat	New Examples of Locally Algebraically Integrable Bodies	2019	V. A. Vassiliev
+	New examples of locally algebraically integrable bodies	2019	V. A. Vassiliev
+	New examples of locally algebraically integrable bodies	2019	V. A. Vassiliev
+	Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps	2018	V. A. Vassiliev
+	Vladimir Antonovich Zorich	2018	А. И. Аптекарев Victor Matveevich Buchstaber V. A. Vassiliev M. Gromov Yu. Ilyashenko Борис Сергеевич Кашин Владимир Михайлович Кесельман В. В. Козлов Maxim Kontsevich I. M. Krichever
+	Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials	2018	V. A. Vassiliev
+	Homology of the complex of not 2-divisible partitions	2018	V. A. Vassiliev
+	Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in ℝn	2018	V. A. Vassiliev
+	Lacunas and local algebraicity of volume functions	2018	V. A. Vassiliev
+ PDF Chat	Sergei Vladimirovich Matveev (on his 70th birthday)	2018	Victor Matveevich Buchstaber V. A. Vassiliev Andrei Yurievich Vesnin Ivan Dynnikov Yuri Grigor'evich Reshetnyak Aleksei Bronislavovich Sossinsky I. A. Taĭmanov Vladimir G. Turaev А. Т. Фоменко Evgeny Fominykh
+ PDF Chat	Lacunas and local algebraicity of volume functions	2018	V. A. Vassiliev
+	Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials	2018	V. A. Vassiliev
+	Homology of the complex of not 2-divisible partitions	2018	V. A. Vassiliev
+	Lacunas and local algebraicity of volume functions	2018	V. A. Vassiliev
+	Stable cohomology of spaces of non-resultant polynomial systems in ℝ 3	2017	V. A. Vassiliev
+	Topology of Complexes of Edge Covering Partite Graphs and Hypergraphs	2017	V. A. Vassiliev
+	Rational homology of configuration spaces of the Moebius strip and projective plane	2017	V. A. Vassiliev
+ PDF Chat	Multiplicities of Bifurcation Sets of Pham Singularities	2017	V. A. Vassiliev
+	Rational homology of configuration spaces of the Moebius strip and projective plane	2017	V. A. Vassiliev
+	Multiplicities of bifurcation sets of Pham singularities	2017	V. A. Vassiliev
+	Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations	2016	V. A. Vassiliev
+ PDF Chat	Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations	2016	V. A. Vassiliev
+	Remembrance: “Sergei Duzhin (June 17, 1956–February 1, 2015)”	2016	Sergei Chmutov Maksim Karev A. Khovanski J. Krasilshchik S. K. Lando Nikolai Mnëv Gaiane Panina Yu. Romanovski Inna Scherbak A. Sossinski
+ PDF Chat	Linking numbers in non-orientable 3-manifolds	2016	V. A. Vassiliev
+	Multiplicities of Maxwell sets of Pham singularities	2016	V. A. Vassiliev
+	Linking numbers in non-orientable 3-manifolds	2016	V. A. Vassiliev
+	Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$	2016	V. A. Vassiliev
+	Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$	2016	V. A. Vassiliev
+	Multiplicities of Bifurcation Sets of Pham Singularities	2016	V. A. Vassiliev
+	Linking numbers in non-orientable 3-manifolds	2016	V. A. Vassiliev
+ PDF Chat	Homology of Spaces of Non-Resultant Homogeneous Polynomial Systems in $${\mathbb R}^2$$ R 2 and $${\mathbb C}^2$$ C 2	2015	V. A. Vassiliev
+	Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in ℝ3	2015	V. A. Vassiliev
+ PDF Chat	A Few Problems on Monodromy and Discriminants	2015	V. A. Vassiliev
+	Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups	2015	V. A. Vassiliev
+	Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $R^3$	2015	V. A. Vassiliev
+	A few problems on monodromy and discriminants	2015	V. A. Vassiliev
+	Homology groups of spaces of non-resultant quadratic polynomial systems in R^3	2014	V. A. Vassiliev
+	How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces	2014	V. A. Vassiliev
+	On Finite Order Invariants of Triple Points Free Plane Curves	2014	V. A. Vassiliev
+	Spaces of Hermitian operators with simple spectra and their finite-order cohomology	2014	V. A. Vassiliev
+	Homology of spaces of homogeneous polynomials in $R^2$ without multiple zeros	2014	V. A. Vassiliev
+	Homology of spaces of non-resultant polynomial systems in R^2 and C^2	2014	V. A. Vassiliev
+	There are no algebraically integrable ovals in even-dimensional spaces	2014	V. A. Vassiliev
+	On $r$-neighborly submanifolds in $R^N$	2014	V. A. Vassiliev
+	Topology of plane arrangements and their complements	2014	V. A. Vassiliev
+	On Finite Order Invariants of Triple Points Free Plane Curves	2014	V. A. Vassiliev
+	How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces	2014	V. A. Vassiliev
+	Monodromy of complete intersections and surface potentials	2014	V. A. Vassiliev
+	Spaces of Hermitian operators with simple spectra and their finite-order cohomology	2014	V. A. Vassiliev
+	Stratified Picard-Lefschetz Theory with Twisted Coefficients	2014	V. A. Vassiliev
+	On combinatorial formulas for cohomology of spaces of knots	2014	V. A. Vassiliev
+	Homology groups of spaces of non-resultant quadratic polynomial systems in R^3	2014	V. A. Vassiliev
+	Complexes of connected graphs	2014	V. A. Vassiliev
+	Singularities	2013	András Némethi Duco van Straten V. A. Vassiliev
+	Lev Dmitrievich Kudryavtsev (obituary)	2012	D. V. Anosov V. A. Vassiliev Vasilii S Vladimirov Revaz Valerianovich Gamkrelidze A A Gonchar В. А. Ильин Валерий Васильевич Козлов A.V. Kryazhimskiy Sergei M Nikol'skii Алексей Николаевич Паршин
+	Vladimir Mikhailovich Zakalyukin (obituary)	2012	Andrei Agrachev D. V. Anosov I. A. Bogaevskii A. S. Bortakovskii Ali Budak V. A. Vassiliev Viktor Vladimirovich Goryunov S. M. Gusein‐Zade А. А. Давыдов V R Zarodov
+	A topological proof of the Arnold four cusps theorem	2011	V. A. Vassiliev
+	GAUSS DIAGRAM INVARIANTS OF LINKS IN M<sup>2</sup> × <font>R</font><sup>1</sup>	2011	S. A. Grishanov V. A. Vassiliev
+	INVARIANTS OF LINKS IN 3-MANIFOLDS AND SPLITTING PROBLEM OF TEXTILE STRUCTURES	2011	S. A. Grishanov V. A. Vassiliev
+	Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>M</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi mathvariant="bold">R</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>	2009	S. A. Grishanov V. A. Vassiliev
+	RECOGNIZING TEXTILE STRUCTURES BY FINITE TYPE KNOT INVARIANTS	2009	S. A. Grishanov Vadim Meshkov V. A. Vassiliev
+	Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds	2008	S. A. Grishanov V. A. Vassiliev
+	Combinatorial Formulas for Cohomology of Spaces of Knots	2007	V. A. Vassiliev
+ PDF Chat	Combinatorial computation of combinatorial formulas for knot invariants	2005	V. A. Vassiliev
+ PDF Chat	Инварианты и когомологии первого порядка для пространств вложений самопересекающихся кривых в $\mathbb R^n$	2005	Виктор Анатольевич Васильев V. A. Vassiliev Виктор Анатольевич Васильев V. A. Vassiliev
+	Ramified integrals and Picard–Lefschetz theories	2004	V. A. Vassiliev
+ PDF Chat	Spaces of Hermitian Operators with Simple Spectra and their Finite-Order Cohomology	2003	V. A. Vassiliev
+	Local monodromy theory of isolated singularities of functions and complete intersections	2002	V. A. Vassiliev
+	Homology of local systems, twisted monodromy theory, and regularization of improper integration cycles	2002	V. A. Vassiliev
+	Stratified Picard–Lefschetz theory and monodromy of hyperplane sections	2002	V. A. Vassiliev
+	Multidimensional hypergeometric functions, their ramification, singularities, and resonances	2002	V. A. Vassiliev
+	Applied Picard–Lefschetz Theory	2002	V. A. Vassiliev
+	Applied Picard-Lefschetz theory	2002	V. A. Vassiliev
+ PDF Chat	Homology of spaces of knots in any dimensions	2001	V. A. Vassiliev
+ PDF Chat	Relative homotopy groups and the exact sequence of a pair	2001	V. A. Vassiliev
+	Homotopy groups and homotopy equivalence	2001	V. A. Vassiliev
+	Main properties of singular homology groups and their computation	2001	V. A. Vassiliev
+	Cohomology and Poincaré duality	2001	V. A. Vassiliev
+	Some applications of homology theory	2001	V. A. Vassiliev
+	Multiplication in cohomology (and homology)	2001	V. A. Vassiliev
+	Introduction to Topology	2001	V. A. Vassiliev
+	Resolutions of discriminants and topology of their complements	2001	V. A. Vassiliev
+	Combinatorial Formulas for Cohomology of Knot Spaces	2001	V. A. Vassiliev
+ PDF Chat	Топология наборов плоскостей и их дополнений	2001	Виктор Анатольевич Васильев V. A. Vassiliev
+ PDF Chat	On finite order invariants of triple point free plane curves	1999	V. A. Vassiliev
+	On a problem by M. Kazarian	1999	V. A. Vassiliev
+ PDF Chat	Topology of two-connected graphs and homology of spaces of knots	1999	V. A. Vassiliev
+	On finite order invariants of triple point free plane curves.	1999	V. A. Vassiliev
+	Geometry of Differential Equations	1998	Askold Khovanskiĭ A. Varchenko V. A. Vassiliev various names
+ PDF Chat	On $r$-neighbourly submanifolds in $\mathbb R^N$	1998	V. A. Vassiliev
+ PDF Chat	On invariants and homology of spaces of knots in arbitrary manifolds	1998	V. A. Vassiliev
+ PDF Chat	Monodromy of Complete Intersections and Surface Potentials	1998	V. A. Vassiliev
+ PDF Chat	Stratified Picard-Lefschetz theory with twisted coefficients	1997	V. A. Vassiliev
+	Topics in Singularity Theory	1997	A. KhovanskiÄ Alexander Varchenko V. A. Vassiliev
+	On invariants and homology of spaces of knots in arbitrary manifolds	1997	V. A. Vassiliev
+	Holonomic Links and Smale Principles for Multisingularities	1997	V. A. Vassiliev
+	Topology of two-connected graphs and homology of spaces of knots	1997	V. A. Vassiliev
+	On invariants and homology of spaces of knots in arbitrary manifolds	1997	V. A. Vassiliev
+	Sixth Painlevé Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$	1996	Askold Khovanskiĭ Alexander Varchenko V. A. Vassiliev Yu. I. Manin
+ PDF Chat	Stratified Picard-Lefschetz theory	1995	V. A. Vassiliev
+	Stratified Picard--Lefschetz theory	1995	V. A. Vassiliev
+	On the spaces of polynomial knots	1995	V. A. Vassiliev
+	Newton’s Theorem on the Nonintegrability of Ovals	1995	V. A. Vassiliev
+	On the spaces of polynomial knots	1995	V. A. Vassiliev
+	Picard—Lefschetz—Pham Theory and Singularity Theory	1995	V. A. Vassiliev
+	Lacunas and the Local Petrovskiĭ Condition for Hyperbolic Differential Operators with Constant Coefficients	1995	V. A. Vassiliev
+	Newton’s Potential of Algebraic Layers	1995	V. A. Vassiliev
+	Ramified Integrals, Singularities and Lacunas	1995	V. A. Vassiliev
+	Calculation of Local Petrovskiĭ Cycles and Enumeration of Local Lacunas Close to Real Function Singularities	1995	V. A. Vassiliev
+	Topology of Discriminants and Their Complements	1995	V. A. Vassiliev
+	Stratified Picard--Lefschetz theory	1995	V. A. Vassiliev
+ PDF Chat	Complexes of Connected Graphs	1993	V. A. Vassiliev
+	Characteristic classes of singularities	1992	V. A. Vassiliev
+	Lacunas of hyperbolic partial differential operators and singularity theory	1992	V. A. Vassiliev
+	Cohomology of the space of knots	1992	V. A. Vassiliev
+	Cohomology of braid groups and configuration spaces	1992	V. A. Vassiliev
+ PDF Chat	Topology of spaces of real functions without complicated singularities	1992	V. A. Vassiliev
+ PDF Chat	Cohomology of knot spaces	1990	V. A. Vassiliev
+	Topology of complements to discriminants and loop spaces	1990	V. A. Vassiliev

Common Coauthors

Coauthor	Papers Together
S. A. Grishanov	5
Victor Matveevich Buchstaber	3
I. M. Krichever	3
Askold Khovanskiĭ	3
Alexander Varchenko	3
S. K. Lando	3
Alexey Samokhin	2
И.В. Асташова	2
Vladyslav Yaskin	2
Michael M. Vinogradov	2
Виктор Анатольевич Васильев	2
Yvette Kosmann–Schwarzbach	2
Jim Stasheff	2
V. P. Maslov	2
Michal Marvan	2
А. П. Веселов	2
Alexander Verbovetsky	2
Jan Boman	2
D. V. Anosov	2
Alexander Koldobsky	2
А. П. Крищенко	2
Yu. I. Manin	2
I. S. Krasil’shchik	2
Анатолий Моисеевич Вершик	2
Mark Agranovsky	2
Victor G. Kač	2
S. P. Novikov	1
Duco van Straten	1
Владимир Филиппов	1
Igor R. Shafarevich	1
Н. Г. Хорькова	1
Ivan Dynnikov	1
Vladimir Nikolaevitch Chetverikov	1
А. А. Давыдов	1
Inna Scherbak	1
E. M. Chirka	1
Yu. G. Reshetnyak	1
Ali Budak	1
Revaz Valerianovich Gamkrelidze	1
V. V. Lychagin	1
A. M. Astashov	1
A. Bocharov	1
R F Vitolo	1
A. Khovanski	1
Yu. Romanovski	1
S. K. Lando	1
Vadim Meshkov	1
В. Н. Чубариков	1
S P Novikov	1
V. D. Sedykh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Complements of Discriminants of Smooth Maps: Topology and Applications	1992	V. A. Vasil’ev	27
+	On some topological invariants of algebraic functions	1970	Vladimir I. Arnold	20
+ PDF Chat	Cohomology of knot spaces	1990	V. A. Vassiliev	17
+	None	1994	Michael Polyak Oleg Viro	14
+	Applied Picard–Lefschetz Theory	2002	V. A. Vassiliev	13
+	Stratified Morse Theory	1988	Mark Goresky Robert MacPherson	12
+ PDF Chat	On the Vassiliev knot invariants	1995	Dror Bar-Natan	12
+ PDF Chat	Real cohomology groups of the space of nonsingular curves of degree 5 in \mathbb{CP}^{2}	2005	Alexei G. Gorinov	11
+	Applied Picard-Lefschetz theory	2002	V. A. Vassiliev	10
+	Knot polynomials and Vassiliev's invariants	1993	Joan S. Birman Xiao-Song Lin	10
+	Cohomologie d'immeubles et de groupes s-arithmétiques	1976	Armand Borel Jean-Pierre Serre	10
+ PDF Chat	Complexes of Connected Graphs	1993	V. A. Vassiliev	9
+ PDF Chat	Topology of complements of discriminants and resultants	2000	Andrzej Kozłowski Kohhei Yamaguchi	9
+	Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts	1953	Armand Borel	9
+	The Homology of "k-Equal" Manifolds and Related Partition Lattices	1995	Anders Björner Volkmar Welker	9
+	Gauss Diagram Invariants for Knots and Links	2001	Thomas Fiedler	8
+	On the diffusion of waves and the lacunas for hyperbolic equations	1945	I. G. Petrovskiĭ	8
+ PDF Chat	Sharp Fronts of Paired Oscillatory Integrals	1976	Lars Gårding	8
+ PDF Chat	The topology of rational functions and divisors of surfaces	1991	Fred Cohen Ralph L. Cohen Benjamin M. Mann R. James Milgram	8
+ PDF Chat	Finite-type invariants of classical and virtual knots	2000	Mikhail Goussarov Michael Polyak Oleg Viro	8
+	Vassiliev’s knot invariants	1993	Maxim Kontsevich	7
+	A small state sum for knots	1993	Thomas Fiedler	7
+ PDF Chat	Lacunas for hyperbolic differential operators with constant coefficients I	1970	Michael Atiyah R. Bott Lars Gårding	7
+	Philosophiae naturalis principia mathematica	1687	Isaac Newton	7
+ PDF Chat	On invariants and homology of spaces of knots in arbitrary manifolds	1998	V. A. Vassiliev	7
+	How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces	2014	V. A. Vassiliev	7
+	Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups	2015	V. A. Vassiliev	6
+ PDF Chat	Un prolongement de la transformation de Laplace qui transforme la solution unitaire d'un opérateur hyperbolique en sa solution élémentaire. (Problème de Cauchy. IV.)	1962	Jean Leray	6
+ PDF Chat	Lacunas and local algebraicity of volume functions	2018	V. A. Vassiliev	6
+ PDF Chat	Symmetric Joins and Weighted Barycenters	2011	Sadok Kallel Rym Karoui	6
+	Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in ℝ3	2015	V. A. Vassiliev	6
+ PDF Chat	Singularities of Differentiable Maps	1985	Vladimir I. Arnold S. M. Guseĭn-Zade Alexander Varchenko	6
+	The complement of the bifurcation variety of a simple singularity	1974	Eduard Looijenga	6
+ PDF Chat	Topology of two-connected graphs and homology of spaces of knots	1999	V. A. Vassiliev	6
+	Singular points of complex hypersurfaces	1968	John Milnor	6
+	Finite-order invariants of ornaments	1998	A B Merkov	5
+	The discriminant of a real simple singularity	1977	Eduard Looijenga	5
+	Homologie Singuliere Des Espaces Fibres	1951	Jean-Pierre Serre	5
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin	5
+	Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$	2016	V. A. Vassiliev	5
+	Topology of Discriminants and Their Complements	1995	V. A. Vassiliev	5
+	Vassiliev invariants classify plane curves and doodles	2003	A B Merkov	5
+	Le groupe de monodromie du déploiement des singularités isolées de courbes planes I	1975	Norbert A’Campo	5
+	The homology of C n+1-Spaces, n≥0	1976	Fred Cohen	5
+	RECOGNIZING TEXTILE STRUCTURES BY FINITE TYPE KNOT INVARIANTS	2009	S. A. Grishanov Vadim Meshkov V. A. Vassiliev	5
+	Spaces of functions with moderate singularities	1990	Vladimir I. Arnold	5
+	ON NORMAL FORMS OF NONSMOOTHNESS OF SOLUTIONS OF HYPERBOLIC EQUATIONS	1988	Alexander Varchenko	5
+	Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in ℝn	2018	V. A. Vassiliev	5
+	The cohomology ring of the colored braid group	1969	Vladimir I. Arnold	4
+	Combinatorial Formulas for Cohomology of Knot Spaces	2001	V. A. Vassiliev	4