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- W2034686954 abstract "There is a simple and natural quantization of differential forms on odd Poisson supermanifolds, given by the relation [f,dg]={f,g} for all functions f and g. We notice that this noncommutative differential algebra has a geometrical realization as a convolution algebra of the symplectic groupoid integrating the Poisson manifold. This quantization is just a part of a quantization of the odd symplectic category (where objects are odd symplectic supermanifolds and morphisms are Lagrangian relations) in terms of 2-graded chain complexes. It is a straightforward consequence of the theory of BV operator acting on semidensities, due to H. Khudaverdian." @default.
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- W2034686954 date "2004-04-01" @default.
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- W2034686954 title "Noncommutative Differential Forms and Quantization of the Odd Symplectic Category" @default.
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- W2034686954 doi "https://doi.org/10.1007/s11005-004-6053-x" @default.
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