LIST OF PUBLICATIONS

Sergei V. Chmutov

PUBLISHED PAPAERS.

1. S.V.Chmutov, Monodromy groups of critical points of functions in two variables, Funk. anal. 15 No.1 (1981) 61-66. (in Russian).

(English translation: Functional Analysis and its applications. 15 (1981) 48-52)

2. S.V.Chmutov, Monodromy groups of critical points of functions, Invent. math. 67 (1982) 123-131.

3. S.V.Chmutov, Monodromy groups of critical points of functions.II, Invent. math. 73 (1983) 491-510.

4. S.V.Chmutov, Spectrum and equivariant deformations of critical points, Uspehi mat. nauk 39 No.4 (1984) 113-114. (in Russian).

5. S.V.Chmutov, A.N.Varchenko, Finite groups generated by reflections are monodromy groups for some singularities, Funk. anal. 18 No.3 (1984) 1-13. (in Russian).

(English translation: Functional Analysis and its applications. 18 (1984) 171-183)

6. S.V.Chmutov, A.N.Varchenko, On the tangent cone to stratum µ = const, Vestnik MGU, Ser. math. No.1 (1985) 6-9. (in Russian).

(English translation: Moscow University Mathematics Bulletin, No.1 (1985) 5-8)

7. S.V.Chmutov, E.A.Gaydar, I.M.Ignatovich, V.F.Kozadoy, A.P.Nemytykh, V.A.Pinchuk, Implementation of the symbol analytic transformation language FLAC, Proceedings DISCO'90, Lecture Notes in Computer Science 429 (1990) 276-277.

8. S.V.Chmutov, Projective surfaces with a large number of singularities, Singularity conference, IRMA (1991) 10-11.

9. S.V.Chmutov, Extremal distributions of critical points and critical values, In Singularity Theory Trieste (1991). Editors: D.T.Le, K.Saito and B.Teissier. World Sci. Publishing, River Edge, NJ, 1995, 192-205.

10. S.V.Chmutov, I.M.Ignatovich, T.G. Tonchev, The programming language for geometrical constructions with compasses and ruler, Proceedings of the second international conference "New computer technologies in education", Troitsk (1991) 55-56.

11. S.V.Chmutov, Examples of projective surfaces with many singularities, Journal of Algebraic Geometry 1 (1992) 191-196.

12. S.V.Chmutov, Two properties of Gröbner bases, Programmirovanie 5 (1992) 70-72. (in Russian)

(English translation: Programming and Computer Software 8(5) (1992) 232-233)

13. S.V.Chmutov, S.V.Duzhin, Gaydar's formula for greatest common divisor of polynomials in several variables, Uspehi mat. nauk 48 No.2 (1993) 177-178. (in Russian)

( English translation: Russian Mathematical Surveys. 48 (1993) 171-172)

14. S.V.Chmutov, I.G.Scherback, Dynkin diagrams of dual boundary singularities are dual, Journal of Algebraic Geometry 3 (1994) 449-462.

15. S.V.Chmutov, S.V.Duzhin, An upper bound for the number of Vassiliev knot invariants, Journal of Knot Theoryand its Ramifications. 3 (1994) 141-151.

16. S.V.Chmutov, S.V.Duzhin, S.K.Lando, Vassiliev knot invariants I. Introduction, Adv. in Soviet Math. 21 Singularities and Curves, V.I.Arnold ed. (1994) 117-126.

17. S.V.Chmutov, S.V.Duzhin, S.K.Lando, Vassiliev knot invariants II. Intersection graph conjecture for trees, Adv. in Soviet Math. 21 Singularities and Curves, V.I.Arnold ed. (1994) 127-134.

18. S.V.Chmutov, S.V.Duzhin, S.K.Lando, Vassiliev knot invariants III. Forest algebra and weighted graphs, Adv. in Soviet Math. 21 Singularities and Curves, V.I.Arnold ed. (1994) 135-145.

19. S.Chmutov, V.Goryunov, Kauffman bracket of plane curves, Comm. Math. Physics 182 (1996) 83-103.

20. S.V.Chmutov, A.N.Varchenko, Remarks on the Vassiliev knot invariants coming from sl₂, Topology 36 (1997) 153-178.

21. S.Chmutov, S.Duzhin, Explicit formulas for Arnold's generic curve invariants, in Arnold-Gelfand Mathematical Seminars, Birkhäuser (1997) 125-138.

22. S.Chmutov, V.Goryunov, Polynomial invariants of Legendrian links and plane fronts, Topics in Singularity Theory. V.I.Arnold's 60-th Anniversary Collection, (A. Khovanskii, A. Varchenko, V. Vassiliev, eds.) Amer. Math. Soc. Transl. Ser. 2, 180 (1997) 25-44.

23. S.Chmutov, V.Goryunov, Polynomial invariants of Legendrian links and their fronts, Proceedings of KNOTS'96, World Scintific Publishing Co. (1997) 239-256.

24. S.Chmutov, Combinatorial analog of the Melvin-Morton conjecture, Proceedings of KNOTS'96, World Scientific Publishing Co. (1997) 257-266.

25. S.Chmutov, A proof of Melvin-Morton conjecture and Feynman diagrams, Journal of Knot Theory and its Ramifications 7 (1998) 23-40.

26. S.Chmutov, S.Duzhin, A.Kaishev, Algebra of 3-graphs, Trans. Steklov Math. Institute 221 (1998), 168--196, ( in Russian), ( English Translation).

27. S.Chmutov, S.Duzhin, A lower bound for the number of Vassiliev knot invariants, Topology and Applications 92 (1999) 201-223.

28. S.Chmutov, S.Duzhin, Knots and their invariants, Matematicheskoe prosveschenie 5 (1999) 59--93. (in Russian).

29. S.Chmutov, S.Duzhin, The Kontsevich integral, in Encyclopaedia of Mathematics, Supplement II (managing editor M. Hazewinkel), Kluwer academic publishers (1999).

30. S.Chmutov, V.Goryunov, H.Murakami, Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves, Math. Ann. 317 (2000) 389-413.

31. S.Chmutov, S.Duzhin, The Kontsevich integral, Acta Applicandae Mathematicae 66 (2001) 155-190.

32. S.Chmutov, Diagrams of divide knots, Proceedings of the Amer. Math. Soc., 131 (2003) 1623--1627.

33. S.Chmutov, An integral generalization of the Gusein-Zade--Natanzon theorem, Moscow Mathematical Journal, 3(3) (2003) 869--879.

34. S.Chmutov, I.Scherbak On Bethe vectors in the sl_N+1 Gaudin model. International Mathematics Research Notices, 26 (2005) 1583--1600. Preprint arXiv:math.RT/0407367.

35. S.Chmutov, I.Pak, The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Moscow Mathematical Journal 7(3) (2007) 409--418. Preprint arXiv:math.GT/0609012.
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CHAPTERS IN EDITED BOOKS.

1. S.Chmutov, Comments to the problems 1972-2, 1974-7, 1975-8, 1979-3, 1980-9, 1980-11, 1981-11, 1981-24, 1983-5, 1984-8, 1993-6, 1993-10, 1993-13, 1994-21 in the book Arnold's problems, Springer & Phasis (2004).

2. S.Chmutov, S.Duzhin, The Kontsevich integral, in the Encyclopedia of Mathematical Physics, eds. J.-P.Françoise, G.L.Naber and S.T.Tsou, Elsevier, Oxford (ISBN 978-0-1251-2666-3), 3 (2006) 231--239.
Preprint arXiv:math.GT/0501040.
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ACCEPTED FOR PUBLICATION.

1. M.Chmutov, S.Chmutov, Y.Rong, Knight move for chromatic graph homology. To appear in European Journal of Combinatorics. Preprint arXiv:math.CO/0511598.
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2. S.Chmutov, J.Voltz, Thistlethwaite's theorem for virtual links. To appear in Journal of Knot Theory and its Ramifications. Preprint arXiv:math.GT/0704.1310.
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3. S.V.Chmutov, S.K.Lando, Mutant knots and intersection graphs. To appear in Algebraic and Geometric Topology. Preprint arXiv:math.GT/0704.1313.
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IN PREPARATION.

1. S.Chmutov, S.Duzhin, CDBooK. Introduction to Vassiliev Knot invariants.
(a preliminary draft version of a book about Chord Diagrams.)
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2. S.Chmutov, Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial.