Abstract
The iterated BRST cohomology is studied by computing cohomology of the variational complex on the infinite order jet space of a smooth fibre bundle. This computation also provides a solution of the global inverse problem of the calculus of variations in Lagrangian field theory.
Similar content being viewed by others
References
Anderson, I. and Duchamp, T.: Amer. J. Math. 102 (1980), 781.
Anderson, I.: Contemp. Math. 132 (1992), 51.
Barnish, G., Brandt, F. and Henneaux, M.: Comm. Math. Phys. 174 (1995), 57.
Barnish, G., Brandt, F. and Henneaux, M.: Phys. Rep. (to appear); e-print: hep-th/0002245.
Bauderon, M.: In: Differential Geometry, Calculus of Variations, and their Applications, Lecture Notes in Pure Appl. Math. 100, Marcel Dekker, New York, 1985, pp. 67–82.
Brandt, F.: Comm. Math. Phys. 190 (1997), 459.
Bredon, G.: Sheaf Theory, McGraw-Hill, New York, 1967.
Bredon, G.: Topology and Geometry, Grad. Texts in Math. 139, Springer-Verlag, Berlin, 1997.
Dubois-Violette, M., Henneaux, M., Talon, M. and Viallet, C.-M.: Phys. Lett. B 289 (1992), 361.
Giachetta, G., Mangiarotti, L. and Sardanashvily, G.: New Lagrangian and Hamiltonian Methods in Field Theory, World Scientific, Singapore, 1997.
Giachetta, G., Mangiarotti L. and Sardanashvily, G.: e-print: math-ph/0005010.
Godement, R.: Theérie des faisceaux, Hermann, Paris, 1964.
Henneaux, M.: Comm. Math. Phys. 140 (1991), 1.
Hirzebruch, F.: Topological Methods in Algebraic Geometry, Springer-Verlag, Berlin, 1966.
Krupka, D. and Musilova, J.: Differential Geom. Appl. 9 (1998), 293.
Mac Lane, S.: Homology, Springer-Verlag, Berlin, 1967.
Mangiarotti, L. and Sardanashvily, G.: Connections in Classical and Quantum Field Theory, World Scientific, Singapore, 2000.
Olver, P.: Applications of Lie Groups to Differential Equations, Springer-Verlag, Berlin, 1997.
Takens, F.: J. Differential Geom. 14 (1979), 543.
Tulczyjew, W.: In: Differential Geometric Methods in Mathematical Physics, Lecture Notes in Math. 836, Springer-Verlag, Berlin, 1980, pp. 22–48.
Vinogradov, A.: J. Math. Anal. Appl. 100 (1984), 41.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Giachetta, G., Mangiarotti, L. & Sardanashvily, G. Iterated BRST Cohomology. Letters in Mathematical Physics 53, 143–156 (2000). https://doi.org/10.1023/A:1026782822059
Issue Date:
DOI: https://doi.org/10.1023/A:1026782822059