Tyurin_A_N_pl.html

List of Publications

by Andrei Tyurin

1. A.N. Tyurin, Classification of vector bundles over an algebraic curve of arbitrary genus. Izv. AN SSSR Ser Math., 29:5 (1965), 658-670; English transl. in Math. USSR Izv. 39 (1975).

2. A.N. Tyurin, Five lectures on 3-dimensional varieties. Uspekhi Mat. Nauk, 27:5 (1972), 3-50.

3. A.N. Tyurin, The geometry of moduli of vector bundles, Uspekhi Mat.Nauk 29:6 (1974), 59-88. Russian Math. Surveys 29:6 (1974), 57-88.

4. A.N. Tyurin, On the intersection of quadrics, Uspekhi Mat.Nauk 30:6 (1975), 51-99; Russian Math. Surveys 30, (1975).

5. A.N. Tyurin, Periods and principal parts on a Riemann surface with a flat structure, Izv. Akad. Nauk SSSR, Ser. Mat., 41:6, (1977), 1425-1443, Math. USSR-Izv., 11, 1979.

6. A.N. Tyurin, On periods of quadratic differentials. Uspekhi Mat.Nauk, 33:6, (1978), 59-88; Russian Math. Surveys, 33:6 (1979), 169-221.

7. A.N. Tjurin, Generalization of the Weierstrass P-function and the moduli variety of marked Riemann surfaces. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), no. 5, 1151--1161, 1184.

8. A.N. Tjurin, The intermediate Jacobian of three-dimensional varieties. (Russian) Current problems in mathematics, Vol. 12 (Russian), pp. 5--57, 239 (loose errata), VINITI, Moscow, 1979.

9. A.N. Tyurin, The geometry of singularities of a generic quadratic form, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 1200-1211; English transl. in Math. USSR Izv. 17 (1981).

10. A.N. Tyurin, A local invariant of a Riemannian manifold, Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), 824-851; English transl. in Math. USSR Izv. 19 (1982).

11. A. Tyurin, The structure of the variety of pairs of commuting pencils of summetric matrices, Izv. Akad. Nauk SSSR Ser. Mat. 46:2 (1982),409-430; English transl. in Math. USSR Izv. 20:2 (1983), 391-410.

12. A.N. Tyurin, On the Superposition of Mahematical Instantons. Progress in Math. Arithm. and Geom. Birkhauser, Boston- Basel-Stutgart, vol. 36, (1983), 433-450.

13. A.N. Tyurin, The instantons equation for (n+1) - Superpositions of marked adTP. Jurnal fur Die Reine und Angewandte Math., Berlin - New York, b.341, (1983), 131 - 146.

14. A.N. Tyurin, Studies in the geometry of algebraic varieties in the algebra section of the Mathematics Institute of the Academy of Sciences. (Russian) Algebra, mathematical logic, number theory, topology. Trudy Mat. Inst. Steklov.168 (1984), 98--109.

15. A.N. Tyurin, Local and global invariants of a four-dimensional pseudo-riemannian manifold. Trudi Math. Inst. Stecklov, 165 (1984), Proceedings of the Steklov Institute of Mathematics, 3 (1985).

16. A.N. Tyurin, Special 0-cycles on a polarized surface of type K3. (Russian)Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), no. 1, 131--151, 208.

17. A.Tyurin, Cycles, curves and vector bundles on algebraic surface. Duke Math.J., vol. 54, (1987), 1 - 26.

18. A.N. Tyurin, Symplectic structures on the variety of moduli of vector bundles on algebraic surfaces with p_{g} > 0, Izv. Akad. Nauk SSSR Ser. Mat. 52:4 (1988), 813-851; English transl. in Math. USSR Izv. 33 (1989), 139 - 177.

19. A.N. Tyurin. Algebraic-geometrical aspects of smooth structures. I: The Donaldson polynomials. Uspekhi Mat. Nauk 44 (1989), no. 3 (267), 93 - 143; English transl. in Russian Math.Surveys 44:3 (1989), 117-178.

20. A.N. Tyurin. A slight generalization of the Metha-Ramanathan theorem, Algebraic Geometry (Proc. US - USSR Sympos., Chicago, IL, 1989), Lecture Notes in Math. vol. 1479, Springer-Verlag,Berlin, (1989), pp. 258-272.

21. A.N. Tyurin. The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type. Complex Algebraic Varieties (Proc. Conf., Bayreuth, 1990), Lecture Notes in Math., vol. 1507, Springer-Verlag, Berlin, (1990), 166-175.

22. A.N. Tyurin, The moduli spaces of vector bundles on threefolds, surfaces and curves I, Erlangen (1990).

23. A. Tyurin, The Weil-Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface, Izv. Akad. Nauk SSSR: Ser. Mat., 55:3 (1991),600-630; English transl. in Math. USSR Izv. 38:3 (1992), 599-620.

24. A. Tyurin, A simple method of distinguishing the underlying differentiable structures of algebraic surfaces. Mathematica Gottingensis, Sonderforschungsbereichs 'Geometry and Analysis": Heft 25 (1992), 1-24.

25. A. Tyurin, V.Pidstrigach, Invariants of the smooth structures of an algebraic surfaces arising from Dirac operator. Izv. AN SSSR Ser. Mat. 56:2 (1992), 279-371; English transl. in Russian Acad. Sci. Izv. Math. 40 (1993) (joint with V.Pidstrigach)

26. A. Tyurin, Spin polynomial invariants of the smooth structures on algebraic surfaces. Mathematica Gottingensis, Sonderforschungsbereichs Geometry and Analysis: Heft 6 (1993), 1-48.

27. A. Tyurin, Spin polynomial invariants of smooth structures on algebraic surfaces. Izv.AN Russia Ser Math., 57:2 (1993), 125-164; English transl. in Russian Acad. Sci. Izv. Math. 42:2, (1994), 333 - 368.

28. A. Tyurin, Comparison of the Spin polynomials with their algebro - geometric analogues. Preprint (1992).

29. A. Tyurin, Canonical and almost canonical spin polynomials of algebraic surface. Vector bundles in Algebraic Geometry (Proc. Conf. Durham, England, 1993; N.J.Hitchin et al., eds.), London Math. Soc. Lecture Note Series, vol. 208, Cambridge Univ. Press, Cambridge, (1995), pp. 255-281.

30. A. Tyurin, On almost canonical polynomials of algebraic surface. Algebraic Geometry and Its Applications (Proc. Conf., Yaroslavl, (1992); A.Tikhomirov and A.Tyurin, eds.), Aspects of Math., vol. E 25, Vieweg, Braunschweig, 1993, pp. 250-275.

31. A. Tyurin. Spin canonical invariants of 4-manifolds and algebraic surfaces. Warwick Preprints: 38, 1994.

32. A. Tyurin. Canonical spin polinomials of an algebraic surface.I. Izv. AN Russia Ser Math., 58:6 (1994), 157-204; English transl. in Russian Acad. Sci. Izv. Math. 45 (1995), pp. 577-621.

33. A. Tyurin, V. Pidstrigach, Localisation of the Dondldson's Invariants alon Seiberg-Witten Classes. Preprint 95 - 075, Universitat Bielefeld, Sonderforschungsbereich 343, Diskrete Structuren in Der Mathematik, pp. 1 - 19.

34. Tyurin, Andrei The classical geometry of vector bundles. Algebraic geometry (Ankara, 1995), 347--378, Lecture Notes in Pure and Appl. Math., 193, Dekker, New York, 1997.

35. A. Tyurin. Six lectures on four-manifolds. Lecture Notes in Math., (1996), vol.1646, pp.186-246

36. Demailly, J.-P.; Peternell, T.; Tian, G.; Tyurin, A. N. Transcendental methods in algebraic geometry. Lectures given at the 3rd C.I.M.E. Session held in Cetraro, July 4--12, 1994. Edited by F. Catanese and C. Ciliberto. Lecture Notes in Mathematics, 1646. Fondazione C.I.M.E.. [C.I.M.E. Foundation] Springer-Verlag, Berlin; Centro Internazionale Matematico Estivo (C.I.M.E.), Florence, 1996. viii+247 pp.

37. A. Tyurin. The classical geometry of vector bundles. Marcel Dekker, NY (1996), pp.1-42

38. A. Tyurin. Geometry of SW-classes. Preprint MPI, Bonn (1996)

39. A. Tyurin. The canonical class of pseudo Riemannian 4-manifold. Preprint MPI, Bonn (1997), pp.1-49

40. A. Tyurin. Non-Abelian analogues of Abel's theorem. Preprint I.C.T.P., Trieste (1997), pp.1-60

41. A. Tyurin. Special Lagrangian geometry and slightly deformed algebraic geometry (SpLag and sdAG). (math.AG/9806006), Warwick, (1998), pp. 1-45.

42. A. Tyurin. Quantization and "theta function". Paris, (1999), pp. 1-32.

43. A.Tyurin. Complexification of Bohr - Sommerfeld conditions, Preprint Inst. of math., Univ. Oslo, 15, (1999).

44. A. Tyurin. Geometric quantization and mirror symmetry. math.AG/9902027, v1, (1999)

45. A. Tyurin. Special Lagrangian geometry as slightly deformed algebraic geometry (geometric quantization and mirror symmetry). Izv.RAN Russia Ser Math., 64:2 (2000), 141-224; English transl. in Russian Acad. Sci. Izv. Math. 64:2 (2000), 363-437.

46. A. Tyurin. On Bohr-Sommerfeld bases. Izv.RAN: Ser. Math., 64:5 (2000), 163 - 196; English transl. in Russian Acad. Sci. Izv. Math. 62:2 (2000), 363-437.

47. A. Tyurin. Non-abelian analogues of the Abel's theorem. Izv.RAN: Ser Math., 65:1 (2001), 123-180; English transl. in Russian Acad. Sci. Izv. Math. 65:1 (2001), 133-196.

48. A. Tyurin. Three mathematical faces of SU(2)-spin networks. Preprint 35/2000, IST, Lisboa, (math.DG/0011035), (2000).

49. Florentino C., Mourao J., Nunes J., Tyurin A. Analitical aspects of the theory non abelian theta functions. Preprint. Lisboa: IST, (2000).

50. A. Gorodentsev, A. Tyurin. ALAG, Izv. Ross. Akad. Nauk, Ser. Mat. 65, n. 3 (2001), 15 - 50.

51. A. Tyurin. Quantization, Classical and Quantum Field Theory and Theta-Functions., (math.AG/0210466), (2002).

52. A. Tyurin. Lattice gauge theories and the Florentino conjecture. Izv. RAN: Ser. Mat. 66:2, (2002), 205 - 224; English transl. in Russian Acad. Sci. Izv. Math. 66:2 (2002), 425 - 442.

53. A. Tyurin. Delzant models of moduli spaces. Izv. RAN Russia, Ser. Math. to appear.