Abstract
The recent identification of classical BRST cohomology with the “vertical cohomology” of a certain fibration is used to compute it in terms of the classical observables and the topology of the gauge orbits. When the gauge orbits are compact and orientable, a duality theorem is exhibited.
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References
Dubois-Violette, M.: Ann. Inst. Fourier37, 45 (1987)
Henneaux, M., Teitelboim, C.: Commun. Math. Phys.115, 213 (1988)
Fisch, J., Henneaux, M., Stasheff, J., Teitelboim, C.: Existence, uniqueness, and cohomology of the classical BRST charge with ghosts of ghosts (Preprint, 1988)
Vaisman, I.: Czechosl. Math.21, 46 (1971)
Buchdahl, N.: Am. Math. Soc.87, 363 (1983)
El Kacimi-Alaoui, A.: Compositio Math.49, 195 (1983)
Henneaux, M.: Duality theorems in BRST cohomology (Bruxelles Preprint, 1988)
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Communicated by L. Alvarez-Gaumé
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Figueroa-O'Farrill, J.M. A topological characterization of classical BRST cohomology. Commun.Math. Phys. 127, 181–186 (1990). https://doi.org/10.1007/BF02096500
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DOI: https://doi.org/10.1007/BF02096500