ArticleOriginal scientific text
Title
Quantization of the cotangent bundle via the tangent groupoid
Authors 1, 1
Affiliations
- Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain
Bibliography
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Deformation theory and quantization, I and II. Annals of Physics 111 (1978), 61-110 and 111 (1978), 111-151.
- J. F. Cariñena, J. Clemente-Gallardo, E. Follana, J. M. Gracia-Bondía, A. Rivero and J. C. Varilly, Connes' tangent groupoid and strict quantization, J. Geom. Phys. 32 (1999), 79-96.
- J. Clemente-Gallardo, Ph. D Thesis, University of Zaragoza, 1999.
- A. Connes, Noncommutative Geometry, Academic Press, London, 1994.
- A. Connes and Hilson, Déformations, morphismes asymptotiques et K-théorie bivariante, C. R. Acad. Sci. Paris 311, Sér. I, 101-106.
- M. De Wilde and P. B. Lecomte. Existence of star products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds. Lett. Math. Phys. 7 (1983), 487-496.
- B. Fedosov, Deformation quantization and index theory, Akademie Verlag, 1996.
- M. J. Gotay, Obstructions to quantization, preprint math-ph/9809011; The Juan Simo Memorial Volume, J. Marsden and S. Wiggins (eds.), Springer, 1998.
- M. Hilsum and G. Skandalis, Morphismes K-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov, Ann. Sci. Ec. Norm. Sup. 20 (1987), 325-390.
- N. P. Landsman, Strict deformation quantization of a particle in external gravitational and Yang-Mills fields, J. Geom. Phys. 12 (1993), 93-132.
- S. Lang, Differential Manifolds, Addison-Wesley, Reading, Mass., 1972.
- B. Monthubert and F. Pierrot, Indice analytique et groupoïdes de Lie, C. R. Acad. Sci. Paris 325 (1997), 193-198.
- M. Rieffel, Questions on quantization, preprint quant-ph/9712009; Proc. Internat. Conf. on Operator Algebras and Operator Theory (Shanghai, 1997).
Pages:
43-53
Main language of publication
English
Published
2000
Exact and natural sciences