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A Note on Semidensities in Antisymplectic Geometry

K. Bering

hep-tharXiv:hep-th/0604117

Abstract

We revisit Khudaverdian's geometric construction of an odd nilpotent operator ΔE that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the ΔE operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

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