Monodromy representations of the braid group

Physics of Atomic Nuclei

Volumn 64, Issue 12, 2001, Pages 2059-2068

  Todorov, I T ^a   Hadjiivanov, L K ^a  

^a INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035527880     PISSN: 10637788     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1432899     Document Type: Article

References (48)

1. V. I. Arnold, Usp. Mat. Nauk 23, 247 (1968); Trudy MMO 21, 27 (1970).
2. V. I. Arnold, Usp. Mat. Nauk 23, 247 (1968); Trudy MMO 21, 27 (1970).
3. K. T. Chen, Bull. Am. Math. Soc. 83, 831 (1977).
4. G. D. Mostow, Bull. Am. Math. Soc. (New Series) 16, 225 (1987).
5. A. Varchenko, Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups (World Scientific, River Edge, 1995).
6. J. Birman, Braids, Links and Mapping Class Groups (Princeton Univ. Press, Princeton, 1974).
7. V. F. R. Jones, Ann. Math. 126, 335 (1987).
8. E. Witten, Commun. Math. Phys. 121, 351 (1989).
9. V G. Turaev, Quantum Invariants of Knots and 3-Manifolds (W. de Gruyter, Berlin, 1994).
10. V. V. Prasolov and A.B. Sosinsky, Knots, Links, Braids and 3-Dimensional Manifolds (MCNMO, Moscow, 1997).
11. T. Kohno, Ann. Inst. Fourier 37, 139 (1987).
12. V. G. Drinfeld, Algebra Anal. 1, 114 (1989).
13. M. Leinaas and J. Myrheim, Nuovo Cimento B 37, 1 (1977).
14. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 21, 650 (1980); 22, 1664 (1981); Phys. Rev. Lett. 54, 603 (1985); 58, 174 (1987); 58, 2162 (1987).
15. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 21, 650 (1980); 22, 1664 (1981); Phys. Rev. Lett. 54, 603 (1985); 58, 174 (1987); 58, 2162 (1987).
16. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 21, 650 (1980); 22, 1664 (1981); Phys. Rev. Lett. 54, 603 (1985); 58, 174 (1987); 58, 2162 (1987).
17. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 21, 650 (1980); 22, 1664 (1981); Phys. Rev. Lett. 54, 603 (1985); 58, 174 (1987); 58, 2162 (1987).
18. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 21, 650 (1980); 22, 1664 (1981); Phys. Rev. Lett. 54, 603 (1985); 58, 174 (1987); 58, 2162 (1987).
19. F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
20. F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
21. L. Biedenharn, E. Lieb, B. Simon, and F. Wilczek, Phys. Today, August, Part 1, 90 (1990).
22. R. Haag, Local Quantum Physics (Springer-Verlag, Berlin, 1992).
23. S. Doplicher and J. Roberts, Commun. Math. Phys. 131, 51 (1990).
24. J. Fröhlich and F. Gabbiani, Rev. Math. Phys. 2, 251 (1990).
25. K. Fredenhagen, K. Rehren, and B. Schroer, Commun. Math. Phys. 125, 201 (1989); Rev. Math. Phys., Special Issue, 113 (1992).
26. K. Fredenhagen, K. Rehren, and B. Schroer, Commun. Math. Phys. 125, 201 (1989); Rev. Math. Phys., Special Issue, 113 (1992).
27. R. Longo, Commun. Math. Phys. 126, 217 (1989); 130, 285 (1990).
28. R. Longo, Commun. Math. Phys. 126, 217 (1989); 130, 285 (1990).
29. G. Mack and V. Schomerus, Nucl. Phys. B 370, 185 (1992).
30. G. Böhm, F. Nill, and K. Szlachányi, J. Algebra 221, 385 (1999); math.QA/9805116.
31. D. Nikshych and L. Vainerman, math.QA/0006057.
32. M. Dubois-Violette and I. T. Todorov, Lett. Math. Phys. 48, 323 (1999).
33. P. Furlan, L. K. Hadjiivanov, A. P. Isaev, et al., hep-th/0003210; submitted to Commun. Math. Phys.
34. A. Cappelli, L. S. Georgiev, and I. T. Todorov, Preprint ESI 828, ESI (Vienna, 2000); in Supersymmetries and Quantum Symmetries: Proceedings of SQS99, Ed. by E. Ivanov et al. (Dubna, 2000), p. 235; hep-th/0009229.
35. J. Fröhlich, B. Pedrini, C. Schweigert, and J. Walcher, cond-mat/0002330.
36. C. Kassel, Quantum Groups (Springer-Verlag, New York, 1995).
37. E. Witten, Commun. Math. Phys. 92, 455 (1984).
38. V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B 247, 83 (1984).
39. I. T. Todorov, in Proceedings of the XIII International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 1984, Ed. by H.-D. Doebner and T. Palev (World Sci., Singapore, 1986), p. 196; Phys. Lett. B 153B, 77 (1985).
40. I. T. Todorov, in Proceedings of the XIII International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 1984, Ed. by H.-D. Doebner and T. Palev (World Sci., Singapore, 1986), p. 196; Phys. Lett. B 153B, 77 (1985).
41. A. Tsuchiya and Y. Kanie, Lett. Math. Phys. 13, 303 (1987).
42. L. D. Faddeev, Commun. Math. Phys. 132, 131 (1990).
43. L. K. Hadjiivanov, Ya. S. Stanev, and I. T. Todorov, hep-th/0007187; Lett. Math. Phys. 54, 137 (2000).
44. Ya. S. Stanev, I. T. Todorov, and L. K. Hadjiivanov, Phys. Lett. B 276, 87 (1992).
45. J.-L. Gervais and A. Neveu, Nucl. Phys. B 238, 125 (1984).
46. A. P. Isaev, J. Phys. A 29, 6903 (1996).
47. P. Furlan, Ya. S. Stanev, and I. T. Todorov, Lett. Math. Phys. 22, 307 (1991).
48. Ya. S. Stanev and I. T. Todorov, Lett. Math. Phys. 35, 123 (1995).