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1.Links, two-fold branched coverings and braids, Matem. sbornik 87:2 (1972) 216-228 (Russian); English translation in Soviet Math. Sbornik.

2. Local knotting of submanifolds, Matem. sbornik 90:2 (1973) 172-181 (Russian); English translation in Soviet Math. Sbornik.

3. Two-fold branched coverings of three-dimensional sphere, Zap. Nauchn. Semin. LOMI 36 (1973) 6-39 (Russian); English transl. in J. Soviet Math 8:5 (1977) 531-553.

4. Branched coverings of manifolds with boundary and invariants of links. I, Izvestiya AN SSSR, ser. Matem. 37:6 (1973) 1242-1259 (Russian); English translation in Soviet Math. Izvestia.

5. Non-projecting isotopies and knots with homeomorphic covering spaces, Zap. Nauchn. Semin. LOMI 66 (1976) Russian; English transl. in J. Soviet Math. 12:1 (1979) 86-96.

6. Placements in codimension 2 and boundary, Uspekhi Mat. Nauk 30:1 (1975) 231-232 (Russian).

7. The Volodin-Kuznetsov-Fomenko conjecture on Heegaard diagrams of 3-dimensional sphere is not true, (joint with V.L.Kobelsky), Uspekhi Mat. Nauk 32:5 (1977) 175-176 (Russian).

8. Signatures of links, Tezisy VII Vsesoyuznoj topologicheskoj konferencii (1977) 41 (Russian).

9. Estimates for twisted homology, (joint with V.G.Touraev), Tezisy VII Vsesoyuznoj topologicheskoj konferencii (1977) 42 (Russian).

10. Generalizing Petrovsky and Arnold inequalities for curves with singularities, Uspekhi Mat. Nauk 33:3 (1978) 145-146 (Russian).

11. Constructing M-surfaces, Funkts. analiz i ego prilozh. 13:3 (1979) 71-72 (Russian); English transl. in Functional Anal. Appl. 13:3 (1979).

12. Constructing multicomponent real algebraic surfaces, Doklady AN SSSR 248:2 (1979) 279-282 (Russian); English transl. in Soviet Math. Doklady.

13. Curves of degree 7, curves of degree 8 and Ragsdale conjecture, Doklady AN SSSR 254:6 (1980) 1305-1310 (Russian); English transl. in Soviet Math. Doklady.

14. Complex orientations of real algebraic surfaces, Uspekhi Mat. Nauk 37:4 (1982) 93 (Russian).

15. Gluing algebraic hypersurfaces and constructions of curves, Tezisy Leningradskoj Mezhdunarodnoj Topologicheskoj Konferencii 1982, Nauka (1983) 149-197 (Russian).

16. Plane real algebraic curves of degrees 7 and 8: new restrictions, Izvestiya AN SSSR, ser. Matem. 47:5 (1983) 1135-1150 (Russian); English transl. in Soviet Math. Izvestia.

17. Progress over the last 5 years in topology of real algebraic varieties, Proceedings of the International Congress of Mathematicians, Aug. 16-24, 1983 vol. 1, Warszawa PWN, Warsaw 595-611 (Russian).

18. Intersections of loops on two-dimensional manifolds. II. Free loops (joint with V.G.Touraev), Mat. sbornik 121:3 (1983) 359-369 (Russian); English translation in Soviet Math. Sbornik.

19. Gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7, Lecture Notes in Math. 1060 (1984) 187-200, Springer-Verlag, Berlin and New York.

20. The signature of a branched covering, Mat. zametki 36:4 (1984) 549-557 (Russian); English translation in Math. Notes 36:3-4 772-776.

21. Topological problems on lines and points of the three-dimensional space, Doklady AN SSSR 284:5 (1985) 1049-1052 (Russian); English translation in Soviet Math. Doklady 32:2 (1985) 528-531.

22. Progress of the last six years in topology of real algebraic varieties, Uspekhi Mat. Nauk 41:3 (1986) 45-67 (Russian\transl\nofrills English translation in Russian Math. Surveys 41:3 (1986) 55-82.

23. Exotic knottings of surfaces in the 4-sphere (joint with S.M.Finashin and M.Kreck), Bull. Amer. Math. Soc. 17:2 (1987) 287-290.

24. Non-diffeomorphic but homeomorphic knottings of surfaces in the 4-sphere (joint with S.M.Finashin and M.Kreck), Lecture Notes in Math. 1346 (1988) 157-198, Springer-Verlag, Heidelberg and New-York.

25. Some integral calculus based on Euler characteristic, Lecture Notes in Math. 1346 (1988) 127-138, Springer-Verlag, Heidelberg and New-York.

26. Extensions of the Gudkov-Rohlin congruence (joint with V.M.Kharlamov), Lecture Notes in Math. 1346 (1988) 357-406, Springer-Verlag, Heidelberg and New-York.

27. Configurations of skew lines (joint with Ju.V.Drobotukhina), Algebra i analiz 1:4 (1989) 222-246 (Russian) English translation in Leningrad Math. J. 1:4 (1990) 1027-1050.

28. Compact four-dimensional exotica with small homology, Algebra i analiz 1:4 (1989) 67-77 (Russian); English translation in Leningrad Math. J. 1:4 (1990) 871-880.

29. Plane real algebraic curves: constructions with controlled topology Algebra i analiz 1:5 (1989) 1-73 (Russian); English translation in Leningrad Math. J. 1:5 (1990) 1059-1134.

30. State sum invariants of 3-manifolds and quantum 6j-symbols (joint with V.G.Turaev), Topology 31:4 (1992) 865-902.

31.  Lectures on combinatorial presentations of manifolds, In book Differential geometry and topology (Alghero, 1992) World Sci. Publ., River Edge, NJ (1993) 244-264.

32. An inequality for the number of nonempty ovals of a curve of odd degree (joint with V.I.Zvonilov), Algebra i analiz 4:3 (1992) 159-170 (Russian); English translation in St. Petersburg Math. J. 4:3 (1993).

33. Complex orientations of real algebraic surfaces, Topology of manifolds and varieties, Advances of Soviet Math. 18 (1994), 261-284.

34. First degree invariants of generic curves on surfaces, Preprint Uppsala University U.U.D.M. Report 1994:21, ISSN 1101-3591.

35. Self-linking number of real algebraic link, Preprint Uppsala University U.U.D.M. Report 1994:35.

36. Gauss diagram formulas for Vassiliev invariants, (info joint with M. Polyak) Preprint Uppsala University U.U.D.M. Report 1994:33.

37. Patchworking real algebraic varieties, Preprint Uppsala University U.U.D.M. Report 1994:42.

38. Gauss diagram formulas for Vassiliev invariants, (joint with Michael Polyak) International Mathematics Research Notes 1994:11.

39. Patchworking algebraic curves disproves the Ragsdale conjecture, (joint with Ilia Itenberg), Preprint Uppsala University U.U.D.M. Report 1995:8.

40. Generic immersions of circle to surfaces and complex topology of real algebraic curves, Topology of real algebraic varieties and related topics, (a volume dedicated to memory of D.A.Gudkov ), AMS Translations,  Series 2, 173, (1995) 231-252 .

41. Patchworking algebraic curves disproves the Ragsdale conjecture, (joint with Ilia Itenberg), The Mathematical Intelligencer   18:1  (1996), 19-28.

42. Mutual position of hypersurfaces in projective space, Amer. Math. Soc. Transl. (2) Vol. 186  ;  (1998), 161-176.

43. Tied into Knot Theory, Quantum,:  May/June 98, p.16.

44. Finite type invariants of classical and virtual knots, (joint with M.N.Goussarov and M.Polyak), Topology;  39, no. 5, (2000) pp.1045-1068.

45. On the Casson knot invariant, (joint with Michael Polyak), J. Knot Theory and Its Ramifications;  to appear.

46. Encomplexing the writhe, Topology, ergodic theory, real algebraic geometry, 241--256, Amer. Math. Soc. Transl. Ser. 2, 202, Amer. Math. Soc., Providence, RI, 2001.

47. Dequantization of Real Algebraic Geometry on a Logarithmic Paper, Proceedings of the 3rd European Congress of Mathematicians, Birkhauser, Progress in Math, 201 (2001) 135 -146.

48. Congruence modulo 8 for real algebraic curves of degree 9 (joint with S. Yu. Orevkov), Uspekhi Mat. Nauk 56 (2001), no. 4(340), 137 - 138 (Russian);
English translation in Russian Math. Surveys 56 (2001), no. 4, 770--771.

49. What is an amoeba, Notices AMS, 49:8 (2002), 916-917.

50. Remarks on definition of Khovanov homology, arXiv:math.GT/0202199 (2002).

51. Quantum relatives of Alexander polynomial, arXiv:math.T/0204290 (2002);
Algebra i Analiz, 18:3 (2006) 63--157 (Russian);
to be published in English in St.Petersburg Math. J.

52. Khovanov homology, its definitions and ramifications, Fund. Math. 184 (2004), 317-342.

53. Whitney Number of Closed Real Algebraic Affine Curve of Type I, Moscow Mathematical Journal 6:1 (2006).

54. Virtual Links, Orientations of Chord Diagrams and Khovanov Homology, Proceedings of Gokova Geometry-Topology Conference 2005, International Press, 187--21; see also arXiv: math.GT/06114062.

55. Asymptotically Maximal Real Algebraic Hypersurfaces of Projective Space,   (joint with Ilia Itenberg) Proceedings of 13th Gokova Geometry-Topology Conference, International Press, 2007.

56. From the sixteenth Hilbert problem to Tropical Geometry, Japan. J. Math, vol. 3 (2008), pp. 1-30.

57. Elementary Topology Problem Textbook. (joint with O.A.Ivanov, N.Yu.Netsvetaev, V.M.Kharlamov) American Mathematical Society, 2008, 400 pages. ISBN 978-0-8218-4506-6.

58. Twisted acyclicity of a circle and signatures of a link, Journal of Knot Theory and Its Ramifications, 18:6 (2009), 729-755.