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arxiv: 1312.4140 · v1 · pith:FNF3MVUJnew · submitted 2013-12-15 · 🧮 math-ph · hep-th· math.DG· math.MP· nlin.SI

The Jacobi identity for graded-commutative variational Schouten bracket revisited

classification 🧮 math-ph hep-thmath.DGmath.MPnlin.SI
keywords bracketidentityjacobischoutenvariationalanywherearxivbundle
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This short note contains an explicit proof of the Jacobi identity for variational Schouten bracket in $Z_2$-graded commutative setup. For the reasoning to be rigorous, it refers to the product bundle geometry of iterated variations (see arXiv:1312.1262 [math-ph]); no ad hoc regularizations occur anywhere in this theory.

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