Abstract
The geometry ofP-manifolds (odd symplectic manifolds) andSP-manifolds (P-manifolds provided with a volume element) is studied. A complete classification of these manifolds is given. This classification is used to prove some results about Batalin-Vilkovisky procedure of quantization, in particular to obtain a very general result about gauge independence of this procedure.
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Batalin, I., Vilkovisky, G.: Gauge algebra and quantization. Phys. Lett.102B, 27 (1981)
Batalin, I., Vilkovisky, G.: Quantization of gauge theories with linearly dependent generators. Phys. Rev.D29, 2567 (1983)
Witten, E.: A note on the antibracket formalism. Mod. Phys. Lett.A5, 487 (1990)
Schwarz, A.: The partition function of a degenerate functional. Commun. Math. Phys.67, 1 (1979)
Berezin, F.: Introduction to algebra and analysis with anticommuting variables. Moscow Univ., 1983 (English translation is published by Reidel)
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Communicated by N.Yu. Reshetikhin
Research supported in part by NSF grant No. DMS-9201366
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Schwarz, A. Geometry of Batalin-Vilkovisky quantization. Commun.Math. Phys. 155, 249–260 (1993). https://doi.org/10.1007/BF02097392
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DOI: https://doi.org/10.1007/BF02097392