3 papers
math-ph2007
Tube formula, Berezinians, and Dwork formula
Hovhannes M. Khudaverdian
We consider an example of tubes of hypersurfaces in Euclidean space and generalise the tube formula to supercase. By this we assign to a point of the hypersurface in superspace a r…
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.DG2000
Semidensities on Odd Symplectic Supermanifolds
Hovhannes Khudaverdian
We consider semidensities on a supermanifold E with an odd symplectic structure. We define a new -operator action on semidensities as the proper framework for Batalin-Vilkovisky…