Cohomology of the infinite-order jet space

2000/05/04 by G. Giachetta, Giachetta, G., L. Mangiarotti +3
Mathematics · Physics and Astronomy · #14F05 #46M20 #55N30 #57R19 #58B100 #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.AT #math.MP #msc:14F05 #msc:46M20 #msc:55N30 #msc:57R19 #msc:58B100

paper · pdf · doi:10.48550/arxiv.math-ph/0005009

10 pages

arxiv created 2000/05/04 · openalex publication_date 2000/05/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

De Rham cohomology, d_V- and d_H-cohomology of the differential algebra of locally pull-back exterior forms on the infinite-order jet manifold of a smooth fibre bundle are calculated.

Related

• On the global calculus in local cohomology in BRST theory
• Cohomology of the variational bicomplex on the infinite order jet space
• Global calculus in BRST cohomology
• Morse cohomology estimates for jet differential operators
• The Essence of de Rham Cohomology