Mathematical papers of the participants of Arnold's seminar
The files below are compressed with either zip (pkzip) or gzip.
Gzip is nowadays a defacto UNIX standard; an
MSDOS version of this program is also
available (run gzip d filename.gz to decompress).
 A.Agrachev, R.V.Gamkrelidze
FeedbackInvariant Optimal Control Theory and Differential
Geometry I. Regular Extremals.
41 pp., 14Oct98.

Abstract.
TeX source file (gzip) (37 Kb).
 A.Agrachev.
Jacobi Curves for Singular Extremals.
24 pp., 14Oct98.

Abstract.
TeX source file (gzip) (19 Kb).
 A.Agrachev, D. Pallaschke, S. Scholtes
On Morse Theory for Piecewise Smooth Functions.
19 pp., 16Oct98.

Abstract.
TeX source file (gzip) (16 Kb).
 A.Agrachev.
Is it possible to recognize Local Controllability
in a finite number of differentiations?
3 pp., 14Oct98.

Abstract.
TeX source file (gzip) (3 Kb).
 A.Agrachev, A.V.Sarychev
SubRiemannian Metrics: Minimality of Abnormal Geodesics versus
Subanalyticity.
30 pp., 14Oct98.

Abstract.
TeX source file (gzip) (37 Kb).
 F.Aicardi and T.Ohmoto
First order local invariants of apparent contours.
(Preliminary version).
17 pp., 29Oct02.

Abstract.
PostScript file (gzipped).

P.M.Akhmetiev and D.Repovs,
A Generalization of the SatoLevine invariant. 14 pp., 08Sep97.

Abstract.
PostScript (zip) (44 Kb),
TeX source (zip) (10 Kb).

Peter M. Akhmetiev,
A highorder analog of the helicity number
for a pair of divergentfree vector field. (In Russian).
22 pp., 21Sep01, updated 30Oct01.

Abstract.
PostScript (gzipped),
TeX source (MSDOS encoding, gzipped).
short version updated 12Aug02 (postScript),
short version updated 12Aug02 (TeX source).

Peter M. Akhmetiev,
On higher asymptotic analogs of the helicity invariant in MHD.
9Nov08, on the server since 05Fev09.

Abstract (English).
Abstract (Russian).
PDF file (Russian).
TeX source (Russian).
PDF file (Russian), updated in January 2010.
TeX source (Russian), updated in January 2010.

Peter M. Akhmetiev,
A geometric approach to stable homotopy groups of spheres.
On the server since 22Jul09.

PDF file (Russian).
TeX source (Russian).
 S.S.Anisov
Convex curves in RP^n. 36 pp.
Trudy of the Steklov Inst, v. 221 (1998).
On the server since 11Feb99.

Abstract.
AMSTeX file (gzipped) (40 Kb).
 S.S.Anisov
Integral Formulas Related to Wave Fronts.
On the server since 25May99.

Abstract.
AMSTeX file (gzipped) (7 Kb).
 I.A.Bogaevsky
Singularities of convex hulls of threedimensional hypersurfaces.
18 pp.
Trudy of the Steklov Inst, v. 221 (1998).
On the server since 9Mar99.

English abstract.
English postscript (gzipped) (103 Kb).
Russian abstract.
Russian postscript (gzipped) (121 Kb).

S.Chmutov, S.Duzhin.
An upper bound for the number of Vassiliev knot invariants. 11 pp.
J. Knot Theory and its Ramifications, v.3, no.2 (1994), 141151.

abstract,
gzipped PostScript (52 Kb).

S.Chmutov, S.Duzhin, S.Lando.
Vassiliev knot Invariants I. Introduction. 14 pp.
Adv. in Soviet Math. 21. Singularities and Curves,
V.I.Arnold ed. (1994) 117126.

abstract,
gzipped PostScript (78 Kb).

S.Chmutov, S.Duzhin, S.Lando,
Vassiliev knot invariants II. Intersection graph conjecture for trees,
11 pp.
Adv. in Soviet Math. 21. Singularities and Curves,
V.I.Arnold ed. (1994) 127134.

abstract,
gzipped PostScript (99 Kb).

S.Chmutov, S.Duzhin, S.Lando,
Vassiliev knot invariants III. Forest algebra and weighted graphs,
14 pp.
Adv. in Soviet Math. 21. Singularities and Curves,
V.I.Arnold ed. (1994) 135145.

abstract,
gzipped PostScript (52 Kb).

S.Chmutov, S.Duzhin.
Explicit formulas for Arnold's generic curve invariants. 16 pp.
Preprint (July 1995). Published in: "ArnoldGelfand
Mathematical Seminars: Geometry and Singularity Theory." Birkhauser, 1997,
p. 123138.

abstract,
gzipped PostScript (126 Kb).

S.Chmutov, S.Duzhin.
A lower bound for the number of Vassiliev knot invariants. 21 pp.
First edition: December 1996, Updated 9Dec97.
"Topology and its Applications" 92 (1999) 201223.

abstract,
gzipped PostScript (108 Kb).

S.Chmutov, S.Duzhin, A.Kaishev.
The algebra of 3graphs. 32 pp.
First edition: September 1997,
Updated 15Dec97,
Published in Trans. Steklov Math. Institute, vol. 221 (1998),
pp. 168196; English translation: ibidem, pp. 157186).

abstract,
in Russian (gzipped PostScript, 218 Kb),
in English (gzipped PostScript, 206 Kb),

S.Chmutov, S.Duzhin.
The Kontsevich integral. 33 pp.
First edition: August 1997 (as a preprint of Max Planck
Institut fuer Mathematik, Bonn).
Last updated 23Sep99.
(Final version is published in Acta Appl. Math. 66(2), p. 155190,
April 2001.)

abstract,
gzipped PostScript (248 Kb).

S.Chmutov, S.Duzhin.
Uzly i ih invarianty ("Knots and their invariants', in Russian).
Matematicheskoe prosveschenie, v.5 (1999), pp. 5993.

gzipped PostScript (550 Kb).

S.Duzhin.
The Matiyasevich polynomial, four
colour theorem and weight systems,
Art of lowdimensional topology VI (ed. T.~Kohno), Kyoto, 2000,
pp. 914.
 Online at
http://www.pdmi.ras.ru/~duzhin/papers/matipol.ps.gz.
 S.Duzhin.
On the Kleinian weight systems.
``LowDimensional Topology of Tomorrow''.
Suurikaisekikenkyuusho Kookyuuroku 1272,
June 2002, pp 8490.

http://www.pdmi.ras.ru/~duzhin/papers/kyoto.ps.gz.

S.Duzhin.
Decomposable skewsymmetric functions.
Submitted to Moscow Mathematical Journal, June 2002.

http://www.pdmi.ras.ru/~duzhin/papers/skew_fun.ps.gz.
 F.S.Duzhin
Estimates for the number of periodic billiard trajectories
in submanifolds of Euclidean space.
16 pp.  Diploma work, Mechmath 2000.
On the server since 11Jul00.

Russian postscript (gzipped) (117 Kb).

S.M.GusseinZade and A.N.Varchenko.
Verlinde algebras and the intersection form on vanishing cycles.
19 pp., 02Oct96.

Abstract.
PostScript (gzip) (73 Kb),
LaTeX source (zip) (18 Kb).
 N.V.Ilyushechkin
On some identities for the elements of a symmetric matrix.
(Russian original and English translation by S.V.Duzhin). 16 pp., 5Dec98.

Russian PostScript (gzip) (70 Kb).
Russian LaTeX in KOI8 encoding (gzip) (17 Kb).
English PostScript (gzip) (64 Kb).
English LaTeX (gzip) (16 Kb).

A.Inshakov.
Invariants $J^+$, $J^$, $St$ of smooth curves on twodimensional surfaces.
In Russian. 17 pp., 6Apr98.

PostScript file (gzip) (96 Kb).

O.Karpenkov.
Energy of a knot: variational principles.
9 pp., 04Jan02.

PostScript file (zipped).

O.Karpenkov.
"On multidimensional continued fractions in the sense of Klein:
classification of twodimensional faces, algorithms,
examples" (in Russian). Dissertation.
162 pp., 05Apr05.

PostScript file (bzip2, 300Kb).
PostScript file (zip, 400Kb).

O.Karpenkov.
On the coordinate vector fields of the LyashkoLoojenga mapping.
In Russian. 3 pp., 27Aug00.

Abstract (Cyrillic).
Abstract (Transliteration).
PostScript file (gzip).

O.Karpenkov.
Classification of latticeregular lattice convex polytopes
In English. 20 pp., 23Feb06.

Abstract.
PostScript file (gzipped).
PDF file.

O.Karpenkov.
Elementary notions of lattice trigonometry, 10Apr06.

Abstract.
PDF file.
 M.E.Kazarian.
Remarks on eigenvalues and eigenvectors of HyperHermitian
matrices. 8 pp., 03Oct98.

Summary.
LaTeX source (zipped),
PostScript (gzipped),
updated LaTeX file 20Nov98 (gzipped),
 Maxim Kazarian.
Thom polynomials for Lagrange, Legendre,
and critical point function singularities. 22Nov00.

LaTeX source (gzipped),
PostScript (gzipped),
 Maxim Kazarian.
On Lagrange and symmetric degeneracy loci. 22Nov00.

LaTeX source (gzipped),
PostScript (gzipped),
 Maxim Kazarian.
Characteristic classes of multisingularities,
cobordisms, and enumerative geometry. 31Mar02.

abstract.
LaTeX source (gzipped).
 Maxim Kazarian.
Characteristic Classes in Singularity theory (Russian),
D.Sc. thesis, Steklov Math. Inst., 2003, 275pp,
on the server since 27Feb06.

Gzipped Postscript.
 B.Khesin and A.Rosly.
Symplectic geometry on moduli spaces of holomorphic bundles over complex
surfaces. October 1998, on the server since 12Feb99.

Abstract.
AMSTeX file (gzipped) (14 Kb).
PostScript file (gzipped) (58 Kb).
 B.Khesin.
Informal complexification and Poisson structures on moduli spaces
(AMS Transl., Ser. 2, vol. 180 (1997), pp. 147155),
on the server since 12Feb99.

Abstract.
AMSTeX file (gzipped) (10 Kb).
PostScript file (gzipped) (48 Kb).
 B.Kruglikov.
Some classificational problems in fourdimensional geometry:
distributions, almost complex structures and MongeAmpere equations.
On the server since 28Mar99.

Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).
 B.Kruglikov.
Existence of close pseudoholomorphic disks for almost complex
manifolds and an application to KobayashiRoyden pseudonorm.
On the server since 28Mar99.

Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).
 B.Kruglikov.
Pseudoholomorphic mappings and Kobayashi hyperbolicity.
On the server since 28Mar99.

Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).
 B.Kruglikov.
Symplectic and contact Lie algebras with an application to
MongeAmpere equations.
On the server since 28Mar99.

Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).
 B.Kruglikov.
Nijenhuis tensors and obstructions for
pseudoholomorphic mapping constructions.
On the server since 28Mar99.

Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

S.K.Lando.
On a Hopf algebra in graph theory. 17 pp., 27Jan98,
updated on the server in November 2000.

Abstract.
LaTeX file (gzip) (16 Kb).
PostScript file (zip) (92 Kb).

S.K.Lando.
Intersection theory in the spaces of meromorphic functions on complex curves.
D.Sc. thesis, 156 pp., 2005, on the server since 23Feb06.

PostScript file (gzipped) (450 Kb).

S.K.Lando.
Jinvariants of ornaments and framed chord diagrams (Russian).
[Published in Funct. Anal. Appl. 2006, 40:1, p. 113,
on the server since 09Jan07.]

PDF file (280 Kb).

V.O.Manturov.
A proof of V.A.Vassiliev's conjecture about planarity of singular links.
12 pp., 15May05.

PDF file (187 Kb).
PostScript file (gzip) (132 Kb).
LaTeX source (unix) (68 Kb).
LaTeX source (dos) (45 Kb).

A.Merkov,
Finite order invariants of ornaments.
86 pp., 04Feb96.

Abstract.
Dvi file (zip) (423 Kb).
PostScript (zip) (480 Kb).
Russian dvi (zip) (393 Kb).
Russian PostScript (zip) (447 Kb).

A.Merkov,
Vassiliev invariants classify flat braids.
21 pp., 04Sep97.

Abstract.
Dvi file (zip) (121 Kb).
PostScript (zip) (116 Kb).

A.Merkov,
Vassiliev invariants classify plane curves and doodles.
26 pp., 03Oct97, updated 02Feb98.

Abstract.
Dvi file (zip) (121 Kb).
PostScript (zip) (126 Kb).

A.Merkov,
On the classification of ornaments, 1994.
On the server since 05May2006.

Abstract.
archive with dvi and ps files (zip).

A.Merkov,
Segmentarrow diagrams and invariants of ornaments.
Mat. Sbornik 191:11, 4778 (2000).
On the server since 05May2006.

English version of the paper:
abstract, dvi+ps.
Russian version of the paper:
abstract, dvi+ps.
English appendix (unpublished):
abstract, dvi+ps.
Russian appendix (unpublished):
abstract, dvi+ps.
TeX sources.
 Stepan Orevkov.
The volume of the Newton polyhedron of the discriminant.
3 pp., in Russian, on the server since 30Dec98.

AMSTeX source file (zip) (5 Kb).
PostScript file (zip) (35 Kb).
 V.D.Sedykh.
Global theory of real corank 1 singularities
and its applications to contact geometry of space curves.
D.Sc. thesis, 250 pp., in Russian, on the server since 23Feb06.

PDF file (1.3 Mb).
 M.B.Sevryuk.
Writing on a computer: some discouraging experiences.
6 pp., 2Dec98.

Abstract.
TeX source file (gzip) (7 Kb).
 A.Postnikov, B.Shapiro, M.Shapiro.
Algebras of Curvature Forms on Homogeneous Manifolds, 5 pp.
04Mar98, on the server since 07Dec98.

Abstract.
LaTeX file (gzip) (7 Kb).
PostScript file (gzip) (60 Kb).

B.Shapiro, M.Shapiro.
Projective convexity in $\P^3$ implies Grassmann convexity.
9 pp., 26Sep98.

Abstract.
AMSTeX source and eps pictures (zip) (24 Kb).
PostScript file (gzip) (63 Kb).
 Vladimir Tchernov.
Finite order invariants of Legendrian, transverse and framed knots in
contact 3manifolds. 34 pp.
Updated 9Aug99, on the server since 12Nov99.

Abstract.
tar archive of TeX file and pictures (70 Kb).
PostScript file (gzip) (168 Kb).
 Vladimir Tchernov.
Arnoldtype invariants of wave fronts on surfaces. 37 pp.
05Jan99, on the server since 14Jan99.

Abstract.
tar archive of TeX file and pictures (210 Kb).
PostScript file (gzip) (260 Kb).
 Vladlen Timorin.
An analog of HodgeRiemann relations for simple convex polytopes,
72 pp., in Russian, on the server since 30Dec98.

LaTeX source files (zip) (46 Kb).
PostScript file (zip) (160 Kb).

V.Turchin.
Homology Isomorphism of the Complex of 2Connected Graphs
and the Graphcomplex of Trees. 6 pp., 13Dec97.

Abstract.
PostScript file (zip) (38 Kb).
PDF file (gzip) (56 Kb).
LaTeX source (zip)  requires EmTeX! (9 Kb).

V. Tourtchine (=V.Turchin).
Sur les questions combinatoire de la theorie spectrale des noeuds.
Ph.D. thesis. Univ Paris 7, 2002.
148 pp., Posted on 7Sep05.

PostScript file (zipped) (478 Kb).

V.A.Vassiliev.
Kogomologii prostranstva uzlov.
(Cohomology of the space of knots, in Russian).
Preprint IPM N91, 1990, 29 pp., on the server since 27Nov11.

PostScript of scanned pages (gzip) (6.8 Mb).
 V.A.Vassiliev.
HOMOLOGY OF SPACES OF HOMOGENEOUS
POLYNOMIALS IN R^{2} WITHOUT MULTIPLE ZEROS. 8 pp.
Written in 1997, on the server since 27Jan2014.

pdf file.
 V.A.Vassiliev.
Stratified PicardLefschetz Theory with Twisted
Coefficients. 17 pp.
Written in 1997, on the server since 27Jan2014.

pdf file.
 V.A.Vassiliev.
HOMOLOGY OF iCONNECTED GRAPHS AND
INVARIANTS OF KNOTS, PLANE ARRANGEMENTS, ETC. 26 pp.
Written in 1997, on the server since 27Jan2014.

pdf file.
 V.A.Vassiliev.
MONODROMY OF COMPLETE INTERSECTIONS AND SURFACE POTENTIALS. 34 pp.
Written in 1998, on the server since 27Jan2014.

pdf file.
 V.A.Vassiliev.
RESOLUTIONS OF DISCRIMINANTS AND TOPOLOGY OF
THEIR COMPLEMENTS. 23 pp.
Written in 2000, on the server since 27Jan2014.

pdf file.
 V.A.Vassiliev.
TOPOLOGY OF PLANE ARRANGEMENTS AND
THEIR COMPLEMENTS. 45 pp.
Written in 2001, on the server since 27Jan2014.

pdf file.

V.A.Vassiliev.
How to calculate homology groups of spaces of
nonsingular algebraic projective hypersurfaces.
25 pp., 19Feb98.

Abstract.
LaTeX file (gzip) (22 Kb).
DVI file (gzip) (39 Kb).
PostScript file (gzip) (82 Kb).

V.A.Vassiliev.
Spaces of Hermitian operators with simple spectra
and their finiteorder cohomology. 21 pp. 02Oct98.

Abstract.
English LaTeX file (zip) (23 Kb).
English PostScript file (gzip) (83 Kb).
Russian LaTeX file (zip) (24 Kb).
Russian PostScript file (gzip) (98 Kb).
 V.A.Vassiliev.
On a problem of M.Kazarian. 3 pp.
05Jan99, on the server since 10Feb99.

Abstract.
TeX file (7 Kb).
PostScript file (gzipped) (21 Kb).
 V.A.Vassiliev.
On combinatorial formulas for cohomology of spaces of knots.
37 pp. 25Sep00, updated 21Oct00.

Abstract.
TeX file.
PostScript file.
 V.A.Vassiliev.
Combinatorial computation of combinatorial formulas
for knot invariants. First version: 29Aug01.
This version: 3Jan04 (94 pages).

TeX source files.
PostScript file.

V.A.Vassiliev.
A FORTRAN program counting for Morsifications of real function
singularities. 10Sep02.

Abstract,
Zipped TeX file,
Source file of the Fortran
program (zipped).
 V.A.Vassiliev.
Combinatorial formulas for cohomology of spaces
of knots. 19Sep03. 21 pages.

TeX source.
PostScript file.
 V.A.Vassiliev.
First order invariants and cohomology of spaces of embeddings of
selfintersecting curves into $\R^n$.
December 2004, on the server since 06Jan05.
English version updated on July 12, 2005.

LaTeX source:
English/UNIX,
English/MSDOS,
Russian/UNIX,
Russian/MSDOS.
PostScript:
English (45 pages),
Russian (40 pages).
 V.A.Vassiliev.
Combinatorial computation of combinatorial formulas
for knot invariants (in Russian), on the server since 10Apr08.

Russian LaTeX source (zipped).
Postscript file (gzipped).
 V.A.Vassiliev.
On topological invariants of real algebraic functions. 12 pp.
On the server since 08Jun11.

pdf file.
 V.A.Vassiliev.
A topological proof of Arnold's four cusp theorem. 5 pp.
On the server since 08Jun11.

pdf file.
 Grishanov S.A., V.Meshkov, V.A.Vassiliev
Recognizing textile structures by finite type knot invariants.
Journal of knot theory and its ramifications, 2009. v. 18 (2), p. 209235

PDF file
 Grishanov S.A., V.A. Vassiliev
Two constructions of weight system from invariants of knots in nontrivial
3manifolds// Topology and its Applications, 2008, Volume 150, Issue 16,
Pages 17571765.

PDF file
 Grishanov S.A., V.A. Vassiliev
Fiedler type combinatorial formulas for generalized Fiedler type
invariants of knots in $M^2 \times R^1$
// Topology and its Applications, 2009, vol. 156, p. 23072316.

PDF file
 Grishanov S.A., V.A. Vassiliev
Invariants of links in 3manifolds and splitting problem of textile
structures, to appear in
Journal of Knot Theory and its Ramifications/2011/02.

PDF file
 Grishanov S.A., V.A. Vassiliev
Gauss Diagram Invariants of Links in $M^2xR^1$,
to appear in Journal of Knot Theory and its Ramifications/2011/02.

PDF file
 V.A. Vassiliev
Topological complexity and Schwarz genus of general real
polynomial equation. 9 pages. On the server since 09mar2011.

PDF file,
TeX file
 V.A. Vassiliev
Complexes of connected graphs. 7 pages. On the server since 14mar2013.

PDF file.
 V.A. Vassiliev
Cohomology of knot spaces. 24 pages. Published in Adv. Sov. Math 1 (1990).
On the server since 14mar2013.

PDF file.
 V.A. Vassiliev
Holonomic links and Smale principles for multisingularities.
On the server since 03jul2013.

PDF file.
 V.A. Vassiliev
Invariants of ornaments.
On the server since 03jul2013.

PDF file.
 V.A. Vassiliev
On finite order invariants of triple point free plane curves.
On the server since 03jul2013.

PDF file.
 V.A. Vassiliev
There are no algebraically integrable ovals in evendimensional
spaces.
On the server since 20dec2013.

PDF file.
TeX file