Cohomology of the variational complex

2000/05/08 by G. Giachetta, Giachetta, G., L. Mangiarotti +3
Mathematics · Physics and Astronomy · #55N30 #58A20 #58E30 #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AT #math.MP #msc:55N30 #msc:58A20 #msc:58E30

paper · pdf · doi:10.48550/arxiv.math-ph/0005010

21 pages

arxiv created 2000/06/12 · arxiv updated 2009/11/30

Abstract

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.

Related

• Cohomology of the variational bicomplex on the infinite order jet space
• Global calculus in BRST cohomology
• Axiomatic classical (prequantum) field theory. Jet formalism
• Inverse problem in the calculus of variations -- functional and antiexact forms
• On finite order variational sequences