BRST quantization of quasisymplectic manifolds and beyond

Journal of Mathematical Physics

Volumn 47, Issue 4, 2006, Pages

  Lyakhovich, S L ^a   Sharapov, A A ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646406569     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2190775     Document Type: Article

References (32)

1. F. A. Berezin, Commun. Math. Phys. 40, 153 (1975).
2. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N.Y.) 111, 61 (1978).
3. B. V. Fedosov, J. Diff. Geom. 40, 213 (1994).
4. B. V. Fedosov, Deformation Quantization and Index Theory, Berlin (Akademie-Verlag, Germany, 1996).
5. M. Kontsevich, Lett. Math. Phys. 66, 157 (2003).
6. A. S. Cattaneo, G. Felder, and L. Tomassini, Duke Math. J. 115, 329 (2002).
7. V. Dolgushev, Adv. Math. 191, 147 (2005).
8. A. S. Cattaneo and G. Felder, Commun. Math. Phys. 212, 591 (2000).
9. I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 102, 27 (1981).
10. A. Alekseev and Y. Kosmann-Schwarzbach, math.DG/9909176.
11. R. Nest and B. Tsygan, Asian J. Math. 5, 599 (2001).
12. I. Vaisman, math.SG/0106070.
13. M. A. Rieffel, Deformation Quantization for Action of Rd, Memoirs AMS 506 (American Mathematical Society, Providence, RI, 1993).
14. P. Xu, Adv. Math. 166, 1 (2002).
15. V. A. Dolgushev, A. P. Isaev, S. L. Lyakhovich, and A. A. Sharapov, Nucl. Phys. B 645, 457 (2002).
16. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. B 0370-2693 10.1016/0370-2693(75)90448-7 55, 224 (1975); I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 69, 309 (1977).
17. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. B 0370-2693 10.1016/0370-2693(75)90448-7 55, 224 (1975); I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 69, 309 (1977).
18. I. A. Batalin and E. S. Fradkin, Phys. Lett. B 122, 157 (1983).
19. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, NJ, 1992).
20. M. A. Grigoriev and S. L. Lyakhovich, Commun. Math. Phys. 218, 437 (2001).
21. I. A. Batalin, M. A. Grigoriev, and S. L. Lyakhovich, Theor. Math. Phys. 128, 1109 (2001).
22. A. Vaintrob, Usp. Mat. Nauk 52, 428 (1997).
23. P. Ševera, math.SG/0105080.
24. Th. Voronov, Contemp. Math. 315, 131 (2002).
25. D. Roytenberg, Contemp. Math. 315, 169 (2002).
26. A. Cannas da Silva and A. Weinstein, Geometric Models for Noncommutative Algebras, Berkeley Mathematics Lecture Notes 10 (American Mathematical Society, Providence, RI, 1999).
27. H. Sussman, Trans. Am. Math. Soc. 170, 171 (1973).
28. K. C. H. Mackenzie and P. Xu, Duke Math. J. 73, 415 (1994).
29. A. G. Elashvili, Funct. Anal. Appl. 16, 94 (1982).
30. I. A. Batalin and I. V. Tyutin, Int. J. Mod. Phys. A 6, 3255 (1991).
31. T. Courant, Trans. Am. Math. Soc. 319, 631 (1990).
32. C. Emmrich and A. Weinstein, " The differential geometry of Fedosov's quantization., " Lie Theory and Geometry [Prog. Math. 123, 217 (Birkhäuser Boston, Boston, 1994)].