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math.DG2002
Laplacians in Odd Symplectic Geometry
Hovhannes M. Khudaverdian
We consider odd Laplace operators arising in odd symplectic geometry. Approach based on semidensities (densities of weight 1/2) is developed. The role of semidensities in the Batal…
math.DG2002
On odd Laplace operators. II
Hovhannes M. Khudaverdian, Theodore Voronov
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 pict…
math.DG2002★ 53 cited
On odd Laplace operators
Hovhannes M. Khudaverdian, Theodore Voronov
We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold . We prove that the case of densities of weight 1/2 (half-densiti…