Mathematical papers of the participants of Arnold's seminar

The files below are compressed with either zip (pkzip) or gzip. Gzip is nowadays a de-facto UNIX standard; an MSDOS version of this program is also available (run gzip -d filename.gz to decompress).
A.Agrachev, R.V.Gamkrelidze
Feedback-Invariant Optimal Control Theory and Differential Geometry -I. Regular Extremals. 41 pp., 14-Oct-98.
Abstract.
TeX source file (gzip) (37 Kb).

A.Agrachev.
Jacobi Curves for Singular Extremals. 24 pp., 14-Oct-98.
Abstract.
TeX source file (gzip) (19 Kb).

A.Agrachev, D. Pallaschke, S. Scholtes
On Morse Theory for Piecewise Smooth Functions. 19 pp., 16-Oct-98.
Abstract.
TeX source file (gzip) (16 Kb).

A.Agrachev.
Is it possible to recognize Local Controllability in a finite number of differentiations? 3 pp., 14-Oct-98.
Abstract.
TeX source file (gzip) (3 Kb).

A.Agrachev, A.V.Sarychev
Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity. 30 pp., 14-Oct-98.
Abstract.
TeX source file (gzip) (37 Kb).

F.Aicardi and T.Ohmoto
First order local invariants of apparent contours. (Preliminary version). 17 pp., 29-Oct-02.
Abstract.
PostScript file (gzipped).

P.M.Akhmetiev and D.Repovs, A Generalization of the Sato-Levine invariant. 14 pp., 08-Sep-97.
Abstract.
PostScript (zip) (44 Kb),
TeX source (zip) (10 Kb).

Peter M. Akhmetiev,
A high-order analog of the helicity number for a pair of divergent-free vector field. (In Russian). 22 pp., 21-Sep-01, updated 30-Oct-01.
Abstract.
PostScript (gzipped),
TeX source (MS-DOS encoding, gzipped).
short version updated 12-Aug-02 (postScript),
short version updated 12-Aug-02 (TeX source).

Peter M. Akhmetiev,
On higher asymptotic analogs of the helicity invariant in MHD. 9-Nov-08, on the server since 05-Fev-09.
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 22-Jul-09.
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 11-Feb-99.
Abstract.
AMSTeX file (gzipped) (40 Kb).

S.S.Anisov
Integral Formulas Related to Wave Fronts. On the server since 25-May-99.
Abstract.
AMSTeX file (gzipped) (7 Kb).

I.A.Bogaevsky
Singularities of convex hulls of three-dimensional hypersurfaces. 18 pp. Trudy of the Steklov Inst, v. 221 (1998). On the server since 9-Mar-99.
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), 141--151.
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) 117-126.
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) 127-134.
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) 135-145.
abstract,
gzipped PostScript (52 Kb).

S.Chmutov, S.Duzhin.
Explicit formulas for Arnold's generic curve invariants. 16 pp.
Preprint (July 1995). Published in: "Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory." Birkhauser, 1997, p. 123--138.
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 9-Dec-97.
"Topology and its Applications" 92 (1999) 201-223.
abstract,
gzipped PostScript (108 Kb).

S.Chmutov, S.Duzhin, A.Kaishev.
The algebra of 3-graphs. 32 pp. First edition: September 1997, Updated 15-Dec-97, Published in Trans. Steklov Math. Institute, vol. 221 (1998), pp. 168--196; English translation: ibidem, pp. 157--186).
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 23-Sep-99.
(Final version is published in Acta Appl. Math. 66(2), p. 155-190, 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. 59--93.
gzipped PostScript (550 Kb).

S.Duzhin.
The Matiyasevich polynomial, four colour theorem and weight systems, Art of low-dimensional topology VI (ed. T.~Kohno), Kyoto, 2000, pp. 9--14.
On-line at http://www.pdmi.ras.ru/~duzhin/papers/mati-pol.ps.gz.

S.Duzhin.
On the Kleinian weight systems. ``Low-Dimensional Topology of Tomorrow''. Suurikaisekikenkyuusho Kookyuuroku 1272, June 2002, pp 84--90.
http://www.pdmi.ras.ru/~duzhin/papers/kyoto.ps.gz.

S.Duzhin.
Decomposable skew-symmetric 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, Mech-math 2000. On the server since 11-Jul-00.
Russian postscript (gzipped) (117 Kb).

S.M.Gussein-Zade and A.N.Varchenko.
Verlinde algebras and the intersection form on vanishing cycles. 19 pp., 02-Oct-96.
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., 5-Dec-98.
Russian PostScript (gzip) (70 Kb).
Russian LaTeX in KOI-8 encoding (gzip) (17 Kb).
English PostScript (gzip) (64 Kb).
English LaTeX (gzip) (16 Kb).

A.Inshakov.
Invariants $J^+$, $J^-$, $St$ of smooth curves on two-dimensional surfaces. In Russian. 17 pp., 6-Apr-98.
PostScript file (gzip) (96 Kb).

O.Karpenkov.
Energy of a knot: variational principles. 9 pp., 04-Jan-02.
PostScript file (zipped).

O.Karpenkov.
"On multidimensional continued fractions in the sense of Klein: classification of two-dimensional faces, algorithms, examples" (in Russian). Dissertation. 162 pp., 05-Apr-05.
PostScript file (bzip2, 300Kb). PostScript file (zip, 400Kb).

O.Karpenkov.
On the coordinate vector fields of the Lyashko-Loojenga mapping. In Russian. 3 pp., 27-Aug-00.
Abstract (Cyrillic).
Abstract (Transliteration).
PostScript file (gzip).

O.Karpenkov.
Classification of lattice-regular lattice convex polytopes In English. 20 pp., 23-Feb-06.
Abstract.
PostScript file (gzipped). PDF file.

O.Karpenkov.
Elementary notions of lattice trigonometry, 10-Apr-06.
Abstract.
PDF file.

M.E.Kazarian.
Remarks on eigenvalues and eigenvectors of Hyper-Hermitian matrices. 8 pp., 03-Oct-98.
Summary.
LaTeX source (zipped), PostScript (gzipped), updated LaTeX file 20-Nov-98 (gzipped),

Maxim Kazarian.
Thom polynomials for Lagrange, Legendre, and critical point function singularities. 22-Nov-00.
LaTeX source (gzipped), PostScript (gzipped),

Maxim Kazarian.
On Lagrange and symmetric degeneracy loci. 22-Nov-00.
LaTeX source (gzipped), PostScript (gzipped),

Maxim Kazarian.
Characteristic classes of multisingularities, cobordisms, and enumerative geometry. 31-Mar-02.
abstract. LaTeX source (gzipped).

Maxim Kazarian.
Characteristic Classes in Singularity theory (Russian), D.Sc. thesis, Steklov Math. Inst., 2003, 275pp, on the server since 27-Feb-06.
Gzipped Postscript.

B.Khesin and A.Rosly.
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces. October 1998, on the server since 12-Feb-99.
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. 147--155), on the server since 12-Feb-99.
Abstract.
AMSTeX file (gzipped) (10 Kb).
PostScript file (gzipped) (48 Kb).

B.Kruglikov.
Some classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equations. On the server since 28-Mar-99.
Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

B.Kruglikov.
Existence of close pseudoholomorphic disks for almost complex manifolds and an application to Kobayashi-Royden pseudonorm. On the server since 28-Mar-99.
Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

B.Kruglikov.
Pseudoholomorphic mappings and Kobayashi hyperbolicity. On the server since 28-Mar-99.
Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

B.Kruglikov.
Symplectic and contact Lie algebras with an application to Monge-Ampere equations. On the server since 28-Mar-99.
Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

B.Kruglikov.
Nijenhuis tensors and obstructions for pseudoholomorphic mapping constructions. On the server since 28-Mar-99.
Abstract.
LaTeX file (gzipped).
PostScript file (gzipped).

S.K.Lando.
On a Hopf algebra in graph theory. 17 pp., 27-Jan-98, 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 23-Feb-06.
PostScript file (gzipped) (450 Kb).

S.K.Lando.
J-invariants of ornaments and framed chord diagrams (Russian). [Published in Funct. Anal. Appl. 2006, 40:1, p. 1-13, on the server since 09-Jan-07.]
PDF file (280 Kb).

V.O.Manturov.
A proof of V.A.Vassiliev's conjecture about planarity of singular links. 12 pp., 15-May-05.
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., 04-Feb-96.
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., 04-Sep-97.
Abstract.
Dvi file (zip) (121 Kb).
PostScript (zip) (116 Kb).

A.Merkov,
Vassiliev invariants classify plane curves and doodles. 26 pp., 03-Oct-97, updated 02-Feb-98.
Abstract.
Dvi file (zip) (121 Kb).
PostScript (zip) (126 Kb).

A.Merkov,
On the classification of ornaments, 1994. On the server since 05-May-2006.
Abstract.
archive with dvi and ps files (zip).

A.Merkov,
Segment-arrow diagrams and invariants of ornaments. Mat. Sbornik 191:11, 47-78 (2000). On the server since 05-May-2006.
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 30-Dec-98.
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 23-Feb-06.
PDF file (1.3 Mb).

M.B.Sevryuk.
Writing on a computer: some discouraging experiences. 6 pp., 2-Dec-98.
Abstract.
TeX source file (gzip) (7 Kb).

A.Postnikov, B.Shapiro, M.Shapiro.
Algebras of Curvature Forms on Homogeneous Manifolds, 5 pp. 04-Mar-98, on the server since 07-Dec-98.
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., 26-Sep-98.
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 3-manifolds. 34 pp. Updated 9-Aug-99, on the server since 12-Nov-99.
Abstract.
tar archive of TeX file and pictures (70 Kb).
PostScript file (gzip) (168 Kb).

Vladimir Tchernov.
Arnold-type invariants of wave fronts on surfaces. 37 pp. 05-Jan-99, on the server since 14-Jan-99.
Abstract.
tar archive of TeX file and pictures (210 Kb).
PostScript file (gzip) (260 Kb).

Vladlen Timorin.
An analog of Hodge-Riemann relations for simple convex polytopes, 72 pp., in Russian, on the server since 30-Dec-98.
LaTeX source files (zip) (46 Kb).
PostScript file (zip) (160 Kb).

V.Turchin.
Homology Isomorphism of the Complex of 2-Connected Graphs and the Graph-complex of Trees. 6 pp., 13-Dec-97.
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 7-Sep-05.
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 27-Nov-11.
PostScript of scanned pages (gzip) (6.8 Mb).

V.A.Vassiliev.
HOMOLOGY OF SPACES OF HOMOGENEOUS POLYNOMIALS IN R2 WITHOUT MULTIPLE ZEROS. 8 pp.
Written in 1997, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
Stratified Picard-Lefschetz Theory with Twisted Coefficients. 17 pp.
Written in 1997, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
HOMOLOGY OF i-CONNECTED GRAPHS AND INVARIANTS OF KNOTS, PLANE ARRANGEMENTS, ETC. 26 pp.
Written in 1997, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
MONODROMY OF COMPLETE INTERSECTIONS AND SURFACE POTENTIALS. 34 pp.
Written in 1998, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
RESOLUTIONS OF DISCRIMINANTS AND TOPOLOGY OF THEIR COMPLEMENTS. 23 pp.
Written in 2000, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
TOPOLOGY OF PLANE ARRANGEMENTS AND THEIR COMPLEMENTS. 45 pp.
Written in 2001, on the server since 27-Jan-2014.
pdf file.

V.A.Vassiliev.
How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces. 25 pp., 19-Feb-98.
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 finite-order cohomology. 21 pp. 02-Oct-98.
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. 05-Jan-99, on the server since 10-Feb-99.
Abstract.
TeX file (7 Kb).
PostScript file (gzipped) (21 Kb).

V.A.Vassiliev.
On combinatorial formulas for cohomology of spaces of knots. 37 pp. 25-Sep-00, updated 21-Oct-00.
Abstract.
TeX file.
PostScript file.

V.A.Vassiliev.
Combinatorial computation of combinatorial formulas for knot invariants. First version: 29-Aug-01. This version: 3-Jan-04 (94 pages).
TeX source files.
PostScript file.

V.A.Vassiliev.
A FORTRAN program counting for Morsifications of real function singularities. 10-Sep-02.
Abstract,
Zipped TeX file,
Source file of the Fortran program (zipped).

V.A.Vassiliev.
Combinatorial formulas for cohomology of spaces of knots. 19-Sep-03. 21 pages.
TeX source.
PostScript file.

V.A.Vassiliev.
First order invariants and cohomology of spaces of embeddings of self-intersecting curves into $\R^n$. December 2004, on the server since 06-Jan-05. 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 10-Apr-08.
Russian LaTeX source (zipped). Postscript file (gzipped).

V.A.Vassiliev.
On topological invariants of real algebraic functions. 12 pp. On the server since 08-Jun-11.
pdf file.

V.A.Vassiliev.
A topological proof of Arnold's four cusp theorem. 5 pp. On the server since 08-Jun-11.
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. 209-235
PDF file

Grishanov S.A., V.A. Vassiliev
Two constructions of weight system from invariants of knots in non-trivial 3-manifolds// Topology and its Applications, 2008, Volume 150, Issue 16, Pages 1757-1765.
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. 2307-2316.
PDF file

Grishanov S.A., V.A. Vassiliev
Invariants of links in 3-manifolds 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 09-mar-2011.
PDF file, TeX file

V.A. Vassiliev
Complexes of connected graphs. 7 pages. On the server since 14-mar-2013.
PDF file.

V.A. Vassiliev
Cohomology of knot spaces. 24 pages. Published in Adv. Sov. Math 1 (1990). On the server since 14-mar-2013.
PDF file.

V.A. Vassiliev
Holonomic links and Smale principles for multisingularities. On the server since 03-jul-2013.
PDF file.

V.A. Vassiliev
Invariants of ornaments. On the server since 03-jul-2013.
PDF file.

V.A. Vassiliev
On finite order invariants of triple point free plane curves. On the server since 03-jul-2013.
PDF file.

V.A. Vassiliev
There are no algebraically integrable ovals in even-dimensional spaces. On the server since 20-dec-2013.
PDF file.
TeX file