Kontsevich integral for Vassiliev invariants from Chern-Simons perturbation theory in the light-cone gauge

Journal of Mathematical Physics

Volumn 39, Issue 10, 1998, Pages 5183-5198

  Labastida, J M F ^a,b   Pérez, Esther ^b  

^a CERN   (Switzerland)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039992266     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532565     Document Type: Article

References (49)

1. E. Witten, Commun. Math. Phys. 121, 351 (1989).
2. M. Bos and V. P. Nair, Phys. Lett. B 223, 61 (1989), Int. J. Mod. Phys. A 5, 959 (1990); S. Elitzur, G. Moore, A. Schwimmer, and N. Seiberg, Nucl. Phys. B326, 108 (1989).
3. M. Bos and V. P. Nair, Phys. Lett. B 223, 61 (1989), Int. J. Mod. Phys. A 5, 959 (1990); S. Elitzur, G. Moore, A. Schwimmer, and N. Seiberg, Nucl. Phys. B326, 108 (1989).
4. M. Bos and V. P. Nair, Phys. Lett. B 223, 61 (1989), Int. J. Mod. Phys. A 5, 959 (1990); S. Elitzur, G. Moore, A. Schwimmer, and N. Seiberg, Nucl. Phys. B326, 108 (1989).
5. J. M. F. Labastida and A. V. Ramallo, Phys. Lett. B 227, 92 (1989); 228, 214 (1989); J. M. F. Labastida, P. M. Llatas, and A. V. Ramallo, Nucl. Phys. B348, 651 (1991); J. M. F. Labastida and M. Marino, Int. J. Mod. Phys. A 10, 1045 (1995); J. M. F. Labastida and E. Pérez, J. Math. Phys. 37, 2013 (1996).
6. J. M. F. Labastida and A. V. Ramallo, Phys. Lett. B 227, 92 (1989); 228, 214 (1989); J. M. F. Labastida, P. M. Llatas, and A. V. Ramallo, Nucl. Phys. B348, 651 (1991); J. M. F. Labastida and M. Marino, Int. J. Mod. Phys. A 10, 1045 (1995); J. M. F. Labastida and E. Pérez, J. Math. Phys. 37, 2013 (1996).
7. J. M. F. Labastida and A. V. Ramallo, Phys. Lett. B 227, 92 (1989); 228, 214 (1989); J. M. F. Labastida, P. M. Llatas, and A. V. Ramallo, Nucl. Phys. B348, 651 (1991); J. M. F. Labastida and M. Marino, Int. J. Mod. Phys. A 10, 1045 (1995); J. M. F. Labastida and E. Pérez, J. Math. Phys. 37, 2013 (1996).
8. J. M. F. Labastida and A. V. Ramallo, Phys. Lett. B 227, 92 (1989); 228, 214 (1989); J. M. F. Labastida, P. M. Llatas, and A. V. Ramallo, Nucl. Phys. B348, 651 (1991); J. M. F. Labastida and M. Marino, Int. J. Mod. Phys. A 10, 1045 (1995); J. M. F. Labastida and E. Pérez, J. Math. Phys. 37, 2013 (1996).
9. J. M. F. Labastida and A. V. Ramallo, Phys. Lett. B 227, 92 (1989); 228, 214 (1989); J. M. F. Labastida, P. M. Llatas, and A. V. Ramallo, Nucl. Phys. B348, 651 (1991); J. M. F. Labastida and M. Marino, Int. J. Mod. Phys. A 10, 1045 (1995); J. M. F. Labastida and E. Pérez, J. Math. Phys. 37, 2013 (1996).
10. J. Frohlich and C. King, Commun. Math. Phys. 126, 167 (1989).
11. S. Martin, Nucl. Phys. B338, 244 (1990).
12. R. K. Kaul, Commun. Math. Phys. 162, 289 (1994); R. K. Kaul and T. R. Govindarajan, Nucl. Phys. B380, 293 (1992); B393, 392 (1993); P. Ramadevi, T. R. Govindarajan and R. K. Kaul, Mod. Phys. Lett. A 10, 1635 (1995).
13. R. K. Kaul, Commun. Math. Phys. 162, 289 (1994); R. K. Kaul and T. R. Govindarajan, Nucl. Phys. B380, 293 (1992); B393, 392 (1993); P. Ramadevi, T. R. Govindarajan and R. K. Kaul, Mod. Phys. Lett. A 10, 1635 (1995).
14. R. K. Kaul, Commun. Math. Phys. 162, 289 (1994); R. K. Kaul and T. R. Govindarajan, Nucl. Phys. B380, 293 (1992); B393, 392 (1993); P. Ramadevi, T. R. Govindarajan and R. K. Kaul, Mod. Phys. Lett. A 10, 1635 (1995).
15. R. K. Kaul, Commun. Math. Phys. 162, 289 (1994); R. K. Kaul and T. R. Govindarajan, Nucl. Phys. B380, 293 (1992); B393, 392 (1993); P. Ramadevi, T. R. Govindarajan and R. K. Kaul, Mod. Phys. Lett. A 10, 1635 (1995).
16. V. F. R. Jones, Bull. Am. Math. Soc. 12, 103 (1985); Ann. Math. 126, 335 (1987).
17. V. F. R. Jones, Bull. Am. Math. Soc. 12, 103 (1985); Ann. Math. 126, 335 (1987).
18. P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millet, and A. Ocneunu, Bull. Am. Math. Soc. 12, 239 (1985).
19. L. H. Kauffman, Trans. Am. Math. Soc. 318, 417 (1990).
20. Y. Akutsu and M. Wadatt, J. Phys. Soc. Jpn. 56, 839 (1987); 56, 3039 (1987).
21. Y. Akutsu and M. Wadatt, J. Phys. Soc. Jpn. 56, 839 (1987); 56, 3039 (1987).
22. E. Guadagnini, M. Martellini, and M. Mintchev, Phys. Lett. B 227, 111 (1989); 228, 489 (1989); Nucl. Phys. B330, 575 (1990).
23. E. Guadagnini, M. Martellini, and M. Mintchev, Phys. Lett. B 227, 111 (1989); 228, 489 (1989); Nucl. Phys. B330, 575 (1990).
24. E. Guadagnini, M. Martellini, and M. Mintchev, Phys. Lett. B 227, 111 (1989); 228, 489 (1989); Nucl. Phys. B330, 575 (1990).
25. D. Bar-Natan, "Perturbative aspects of Chern-Simons topological quantum field theory," Ph.D. thesis, Princeton University, 1991.
26. M. Alvarez and J. M. F. Labastida, Nucl. Phys. B395, 198 (1993); B433, 555 (1995); B441, 403 (1995).
27. M. Alvarez and J. M. F. Labastida, Nucl. Phys. B395, 198 (1993); B433, 555 (1995); B441, 403 (1995).
28. M. Alvarez and J. M. F. Labastida, Nucl. Phys. B395, 198 (1993); B433, 555 (1995); B441, 403 (1995).
29. D. Altschuler and L. Freidel, Commun. Math. Phys. 187, 261 (1997).
30. L. Alvarez-Gaumé, J. M. F. Labastida, and A. V. Ramallo, Nucl. Phys. B334, 103 (1990); G. P. Korchemsky, Mod. Phys. Lett. A 6, 727 (1991).
31. L. Alvarez-Gaumé, J. M. F. Labastida, and A. V. Ramallo, Nucl. Phys. B334, 103 (1990); G. P. Korchemsky, Mod. Phys. Lett. A 6, 727 (1991).
32. A. Blasi, O. Piguet, and S. P. Sorella, Nucl. Phys. B356, 154 (1991).
33. C. P. Martin, Phys. Lett. B 241, 513 (1990); G. Giavarini, C. P. Martin, and F. Ruiz Ruiz, Nucl. Phys. 8381, 222 (1992).
34. C. P. Martin, Phys. Lett. B 241, 513 (1990); G. Giavarini, C. P. Martin, and F. Ruiz Ruiz, Nucl. Phys. 8381, 222 (1992).
35. M. Alvarez and J. M. F. Labastida, J. Knot Theory Ramifications 5, 779 (1996); M. Alvarez, J. M. F. Labastida, and E. Pérez, Nucl. Phys. B488, 677 (1997).
36. M. Alvarez and J. M. F. Labastida, J. Knot Theory Ramifications 5, 779 (1996); M. Alvarez, J. M. F. Labastida, and E. Pérez, Nucl. Phys. B488, 677 (1997).
37. M. Alvarez and J. M. F. Labastida, "Primitive Vassiliev invariants and factorization in Chern-Simons gauge theory," Commun. Math. Phys. 189, 641 (1997).
38. R. Bott and C. Taubes, J. Math. Phys. 35, 5247 (1994).
39. G. Leibbrandt and C. P. Martin, Nucl. Phys. B377, 593 (1992); B416, 351 (1994).
40. G. Leibbrandt and C. P. Martin, Nucl. Phys. B377, 593 (1992); B416, 351 (1994).
41. A. Brandhuber, S. Emery, M. Langer, O. Piguet, M. Schweda, and S. P. Sorella. Helv. Phys. Acta 66, 551 (1993).
42. J. F. W. H. van de Wetering, Nucl. Phys. B379, 172 (1992).
43. M. Kontsevich, Adv. Sov. Math. 16, 137 (1993).
44. T. Q. T. Let and J. Murakami, "The universal Vassiliev-Kontsevich invariant for framed oriented links," Max-Plank Institut fur Mathematik preprint, 1994.
45. V. G. Knizhnik and A. B. Zamolodchikov. Nucl. Phys. B247, 83 (1984).
46. A. S. Cattaneo, P. Cotta-Ramusino, J. Frohlich, and M. Martellini, J. Math. Phys. 36, 6137 (1995).
47. J. S. Birman and X. S. Lin, Invent. Math. 111, 225 (1993); J. S. Birman, Bull. Am. Math. Soc. 28, 253 (1993).
48. J. S. Birman and X. S. Lin, Invent. Math. 111, 225 (1993); J. S. Birman, Bull. Am. Math. Soc. 28, 253 (1993).
49. D. Bar-Natan, Topology 34, 423 (1995).