A comparison of definitions for the Schouten bracket on jet spaces
  The Schouten bracket (or antibracket) plays a central role in the Poisson formalism and the Batalin-Vilkovisky quantization of gauge systems. There are several (in)equivalent ways to realize this concept on jet spaces. In this paper, we compare the definitions, examining in what ways they agree or disagree and how they relate to the case of usual manifolds. 
Arthemy V. Kiselev and Sietse Ringers
math.DG math-ph math.MP nlin.SI