  A globalized version of a trace formula for the Poisson Sigma Model on the
disk is presented by using its formal global picture in the setting of the
Batalin-Vilkovisky formalism. This global construction includes the concept of
zero modes. Moreover, for the symplectic case of the Poisson Sigma Model with
cotangent target, the globalized trace reduces to a symplectic construction
which was presented by Grady, Li and Li for 1-dimensional Chern-Simons theory
(topological quantum mechanics). In addition, the connection between this
formula and the Nest-Tsygan theorem and the Tamarkin-Tsygan theorem is
explained.
