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arxiv: hep-th/0604117 · v6 · pith:3JKADGB3new · submitted 2006-04-17 · ✦ hep-th · math.DG· math.SG

A Note on Semidensities in Antisymplectic Geometry

classification ✦ hep-th math.DGmath.SG
keywords semidensitiesantisymplecticdeltaoperatorarbitrarybatalin-vilkoviskyconnectionconstruction
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We revisit Khudaverdian's geometric construction of an odd nilpotent operator \Delta_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \Delta_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

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