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arxiv: math-ph/0005010 · v4 · submitted 2000-05-08 · 🧮 math-ph · math.AT· math.MP

Cohomology of the variational complex

classification 🧮 math-ph math.ATmath.MP
keywords calculuscohomologyfiniteordervariationalvariationsbicomplexclass
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Cohomology of the variational bicomplex in the calculus of variations in classical field theory are computed in the class of exteriror forms of finite jet order. This provides a solution of the global inverse problem of the finite order calculus of variations.

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