# On odd Laplace operators. II

@article{Khudaverdian2002OnOL,
title={On odd Laplace operators. II},
author={Hovhannes M. Khudaverdian and Theodore Th. Voronov},
journal={arXiv: Differential Geometry},
year={2002}
}
• Published 22 December 2002
• Mathematics
• arXiv: Differential Geometry
We analyze geometry of the second order differential operators, having in mind applications to Batalin--Vilkovisky formalism in quantum field theory. As we show, an exhaustive picture can be obtained by considering pencils of differential operators acting on densities of all weights simultaneously. The algebra of densities, which we introduce here, has a natural invariant scalar product. Using it, we prove that there is a one-to-one correspondence between second-order operators in this algebra…
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