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VOLUME 58 (1993) | ISSUE 1 | PAGE 64
Antibrackets and localization of (path) integrals
The transparent method for the invariant (Hamiltonian) description of equivariant localization of the integrals over phase space is proposed. This method uses the odd symplectic structure, which is constructed over tangent bundle of the phase space and which permits straightforward generalization of the path integrals. A method of supersymmetrization of a wide class of Hamiltonian systems has also been developed.