Delta-Operator on Semidensities and Integral Invariants in the Batalin-Vilkovisky Geometry

Abstract: The action of Batalin-Vilkovisky Delta-operator on semidensities in an odd symplectic superspace is defined. This is used for the construction of integral invariants on surfaces embedded in an odd symplectic superspace and for more clear interpretation of the Batalin-Vilkovisky formalism geometry.

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Supermanifolds and graded manifolds (58A50) Applications of local differential geometry to the sciences (53B50) Differential invariants (local theory), geometric objects (53A55)

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