PostScript (zip) (44 Kb),
TeX source (zip) (10 Kb).
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.
PostScript (gzipped),
TeX source (MS-DOS encoding, gzipped).
short version updated 12-Aug-02 (postScript),
short version updated 12-Aug-02 (TeX source).
On higher asymptotic analogs of the helicity invariant in MHD.
9-Nov-08, on the server since 05-Fev-09.
Abstract (Russian).
PDF file (Russian).
TeX source (Russian).
PDF file (Russian), updated in January 2010.
TeX source (Russian), updated in January 2010.
A geometric approach to stable homotopy groups of spheres.
On the server since 22-Jul-09.
TeX source (Russian).
Convex curves in RP^n. 36 pp.
Trudy of the Steklov Inst, v. 221 (1998).
On the server since 11-Feb-99.
AMSTeX file (gzipped) (40 Kb).
Integral Formulas Related to Wave Fronts.
On the server since 25-May-99.
AMSTeX file (gzipped) (7 Kb).
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 postscript (gzipped) (103 Kb).
Russian abstract.
Russian postscript (gzipped) (121 Kb).
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.
gzipped PostScript (52 Kb).
Vassiliev knot Invariants I. Introduction. 14 pp.
Adv. in Soviet Math. 21. Singularities and Curves,
V.I.Arnold ed. (1994) 117-126.
gzipped PostScript (78 Kb).
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.
gzipped PostScript (99 Kb).
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.
gzipped PostScript (52 Kb).
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.
gzipped PostScript (126 Kb).
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.
gzipped PostScript (108 Kb).
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).
in Russian (gzipped PostScript, 218 Kb),
in English (gzipped PostScript, 206 Kb),
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.)
gzipped PostScript (248 Kb).
Uzly i ih invarianty ("Knots and their invariants', in Russian).
Matematicheskoe prosveschenie, v.5 (1999), pp. 59--93.
The Matiyasevich polynomial, four
colour theorem and weight systems,
Art of low-dimensional topology VI (ed. T.~Kohno), Kyoto, 2000,
pp. 9--14.
On the Kleinian weight systems.
``Low-Dimensional Topology of Tomorrow''.
Suurikaisekikenkyuusho Kookyuuroku 1272,
June 2002, pp 84--90.
Decomposable skew-symmetric functions.
Submitted to Moscow Mathematical Journal, June 2002.
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.
Verlinde algebras and the intersection form on vanishing cycles.
19 pp., 02-Oct-96.
PostScript (gzip) (73 Kb),
LaTeX source (zip) (18 Kb).
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 LaTeX in KOI-8 encoding (gzip) (17 Kb).
English PostScript (gzip) (64 Kb).
English LaTeX (gzip) (16 Kb).
Invariants $J^+$, $J^-$, $St$ of smooth curves on two-dimensional surfaces.
In Russian. 17 pp., 6-Apr-98.
Energy of a knot: variational principles.
9 pp., 04-Jan-02.
"On multidimensional continued fractions in the sense of Klein:
classification of two-dimensional faces, algorithms,
examples" (in Russian). Dissertation.
162 pp., 05-Apr-05.
On the coordinate vector fields of the Lyashko-Loojenga mapping.
In Russian. 3 pp., 27-Aug-00.
Abstract (Transliteration).
PostScript file (gzip).
Classification of lattice-regular lattice convex polytopes
In English. 20 pp., 23-Feb-06.
PostScript file (gzipped).
PDF file.
Elementary notions of lattice trigonometry, 10-Apr-06.
PDF file.
Remarks on eigenvalues and eigenvectors of Hyper-Hermitian
matrices. 8 pp., 03-Oct-98.
LaTeX source (zipped),
PostScript (gzipped),
updated LaTeX file 20-Nov-98 (gzipped),
Thom polynomials for Lagrange, Legendre,
and critical point function singularities. 22-Nov-00.
On Lagrange and symmetric degeneracy loci. 22-Nov-00.
Characteristic classes of multisingularities,
cobordisms, and enumerative geometry. 31-Mar-02.
Characteristic Classes in Singularity theory (Russian),
D.Sc. thesis, Steklov Math. Inst., 2003, 275pp,
on the server since 27-Feb-06.
Symplectic geometry on moduli spaces of holomorphic bundles over complex
surfaces. October 1998, on the server since 12-Feb-99.
AMSTeX file (gzipped) (14 Kb).
PostScript file (gzipped) (58 Kb).
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.
AMSTeX file (gzipped) (10 Kb).
PostScript file (gzipped) (48 Kb).
Some classificational problems in four-dimensional geometry:
distributions, almost complex structures and Monge-Ampere equations.
On the server since 28-Mar-99.
LaTeX file (gzipped).
PostScript file (gzipped).
Existence of close pseudoholomorphic disks for almost complex
manifolds and an application to Kobayashi-Royden pseudonorm.
On the server since 28-Mar-99.
LaTeX file (gzipped).
PostScript file (gzipped).
Pseudoholomorphic mappings and Kobayashi hyperbolicity.
On the server since 28-Mar-99.
LaTeX file (gzipped).
PostScript file (gzipped).
Symplectic and contact Lie algebras with an application to
Monge-Ampere equations.
On the server since 28-Mar-99.
LaTeX file (gzipped).
PostScript file (gzipped).
Nijenhuis tensors and obstructions for
pseudoholomorphic mapping constructions.
On the server since 28-Mar-99.
LaTeX file (gzipped).
PostScript file (gzipped).
On a Hopf algebra in graph theory. 17 pp., 27-Jan-98,
updated on the server in November 2000.
LaTeX file (gzip) (16 Kb).
PostScript file (zip) (92 Kb).
Intersection theory in the spaces of meromorphic functions on complex curves.
D.Sc. thesis, 156 pp., 2005, on the server since 23-Feb-06.
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.]
A proof of V.A.Vassiliev's conjecture about planarity of singular links.
12 pp., 15-May-05.
PostScript file (gzip) (132 Kb).
LaTeX source (unix) (68 Kb).
LaTeX source (dos) (45 Kb).
Finite order invariants of ornaments.
86 pp., 04-Feb-96.
Dvi file (zip) (423 Kb).
PostScript (zip) (480 Kb).
Russian dvi (zip) (393 Kb).
Russian PostScript (zip) (447 Kb).
Vassiliev invariants classify flat braids.
21 pp., 04-Sep-97.
Dvi file (zip) (121 Kb).
PostScript (zip) (116 Kb).
Vassiliev invariants classify plane curves and doodles.
26 pp., 03-Oct-97, updated 02-Feb-98.
Dvi file (zip) (121 Kb).
PostScript (zip) (126 Kb).
On the classification of ornaments, 1994.
On the server since 05-May-2006.
archive with dvi and ps files (zip).
Segment-arrow diagrams and invariants of ornaments.
Mat. Sbornik 191:11, 47-78 (2000).
On the server since 05-May-2006.
Russian version of the paper:
abstract, dvi+ps.
English appendix (unpublished):
abstract, dvi+ps.
Russian appendix (unpublished):
abstract, dvi+ps.
TeX sources.
The volume of the Newton polyhedron of the discriminant.
3 pp., in Russian, on the server since 30-Dec-98.
PostScript file (zip) (35 Kb).
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.
Writing on a computer: some discouraging experiences.
6 pp., 2-Dec-98.
TeX source file (gzip) (7 Kb).
Algebras of Curvature Forms on Homogeneous Manifolds, 5 pp.
04-Mar-98, on the server since 07-Dec-98.
LaTeX file (gzip) (7 Kb).
PostScript file (gzip) (60 Kb).
Projective convexity in $\P^3$ implies Grassmann convexity.
9 pp., 26-Sep-98.
AMSTeX source and eps pictures (zip) (24 Kb).
PostScript file (gzip) (63 Kb).
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.
tar archive of TeX file and pictures (70 Kb).
PostScript file (gzip) (168 Kb).
Arnold-type invariants of wave fronts on surfaces. 37 pp.
05-Jan-99, on the server since 14-Jan-99.
tar archive of TeX file and pictures (210 Kb).
PostScript file (gzip) (260 Kb).
An analog of Hodge-Riemann relations for simple convex polytopes,
72 pp., in Russian, on the server since 30-Dec-98.
PostScript file (zip) (160 Kb).
Homology Isomorphism of the Complex of 2-Connected Graphs
and the Graph-complex of Trees. 6 pp., 13-Dec-97.
PostScript file (zip) (38 Kb).
PDF file (gzip) (56 Kb).
LaTeX source (zip) -- requires EmTeX! (9 Kb).
Sur les questions combinatoire de la theorie spectrale des noeuds.
Ph.D. thesis. Univ Paris 7, 2002.
148 pp., Posted on 7-Sep-05.
How to calculate homology groups of spaces of
nonsingular algebraic projective hypersurfaces.
25 pp., 19-Feb-98.
LaTeX file (gzip) (22 Kb).
DVI file (gzip) (39 Kb).
PostScript file (gzip) (82 Kb).
Spaces of Hermitian operators with simple spectra
and their finite-order cohomology. 21 pp. 02-Oct-98.
English LaTeX file (zip) (23 Kb).
English PostScript file (gzip) (83 Kb).
Russian LaTeX file (zip) (24 Kb).
Russian PostScript file (gzip) (98 Kb).
On a problem of M.Kazarian. 3 pp.
05-Jan-99, on the server since 10-Feb-99.
TeX file (7 Kb).
PostScript file (gzipped) (21 Kb).
On combinatorial formulas for cohomology of spaces of knots.
37 pp. 25-Sep-00, updated 21-Oct-00.
TeX file.
PostScript file.
Combinatorial computation of combinatorial formulas
for knot invariants. First version: 29-Aug-01.
This version: 3-Jan-04 (94 pages).
PostScript file.
A FORTRAN program counting for Morsifications of real function
singularities. 10-Sep-02.
Zipped TeX file,
Source file of the Fortran
program (zipped).
Combinatorial formulas for cohomology of spaces
of knots. 19-Sep-03. 21 pages.
PostScript file.
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.
PostScript:
English (45 pages),
Russian (40 pages).
Combinatorial computation of combinatorial formulas
for knot invariants (in Russian), on the server since 10-Apr-08.