XXII WORKSHOP ON GEOMETRIC METHODS IN PHYSICS
29 JUNE - 5 JULY 2003, BIAŁOWIEŻA, POLAND
Hovhannes M. Khudaverdian - The Laplace operator in odd symplectic geometry
We study Laplace operators arising in odd symplectic geometry.
We consider half-densities on odd symplectic supermanifolds,
define canonical Laplace operator acting on half-densities
and analyze relations between half-densities and differential
forms on Lagrangian submanifolds. We apply these constructions
to Batalin-Vilkovisky formalism.
We consider also generalizations of these constructions
on odd Poisson geometry.