Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds

F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, “Deformation Theory And Quantization. 1. Deformations Of Symplectic Structures,” Annals Phys. 111

1978

Earlier work this paper cites.

J. Fuchs, “Affine Lie algebras and quantum groups: An Introduction, with applications in conformal field theory,” Cambridge, UK: Univ. Pr. (1992) 433 p. (Cambridge monographs on mathematical physics). 1st publ

1992

Earlier work this paper cites.

N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP 9909

Original

1999

Earlier work this paper cites.

A. S. Cattaneo and G. Felder, “A path integral approach to the Kontsevich quantization formula,” Commun. Math. Phys. 212

2000

Earlier work this paper cites.

C. S. Chu and P. M. Ho, “Poisson Algebra Of Differential Forms,” Int. J. Mod. Phys. 12

2001

Cited alongside, same era.

G. Dito and D. Sternheimer, “Deformation Quantization: Genesis, Developments and Metamorphoses,” IRMA Lect. Math. Theor. Phys., 1, de Gruyter, Berlin, p. 9 (2002) [arXiv:math/0201168]

2002

Cited alongside, same era.

M. Kontsevich, “Deformation quantization of Poisson manifolds, I,” Lett. Math. Phys. 66

2003

Cited alongside, same era.

M. Ammar, V. Chloup, and S. Gutt, “Universal star products,” To appear in Letters in Mathematical Physics, [arXiv:0804.1300v1]

Original

Cited in the paper.

E. J. Beggs and S. Majid, “Semi-classical differential structures,” Pacific Journal of Mathematics, 224 no. 1

2006

Later among the works it cites.

A. S. Cattaneo and G. Felder, “Relative Formality Theorem and Quantization of Coisotropic Submanifolds,” Adv. Math. 208 no. 2

2007

Later among the works it cites.

E. Hawkins, “Noncommutative Rigidity,” Commun. Math. Phys. 246: 211-23, (2004) [arXiv: math/0211203]. E. Hawkins, “The structure of noncommutative deformations,” J. Differential Geom. 77 no. 3

2007

Later among the works it cites.