Abstract
Differential forms on an odd symplectic manifold form a bicomplex: one differential is the wedge product with the symplectic form and the other is de Rham differential. In the corresponding spectral sequence the next differential turns out to be the Batalin–Vilkoviski operator.
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References
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Ševera, P. On the Origin of the BV Operator on Odd Symplectic Supermanifolds. Lett Math Phys 78, 55–59 (2006). https://doi.org/10.1007/s11005-006-0097-z
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DOI: https://doi.org/10.1007/s11005-006-0097-z