GRADED INFINITE ORDER JET MANIFOLDS

DOI10.1142/S0219887807002582zbMath1142.58005arXiv0708.2434MaRDI QIDQ3498255

Gennadi A. Sardanashvily

Publication date: 28 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2434

zbMATH Keywords

variational bicomplexgraded manifoldsjet manifoldsgraded differential forms

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Sheaf cohomology in algebraic topology (55N30) Jets in global analysis (58A20) Differential complexes (58J10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (11)

FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY ⋮ Differential calculus on \(\mathbb{N}\)-graded manifolds ⋮ The KT-BRST complex of a degenerate Lagrangian system ⋮ Higher-stage Noether identities and second Noether theorems ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ GAUGE CONSERVATION LAWS IN A GENERAL SETTING: SUPERPOTENTIAL ⋮ On the notion of gauge symmetries of generic Lagrangian field theory ⋮ GRADED LAGRANGIAN FORMALISM ⋮ HIDDEN SUPERSYMMETRY IN DIRAC FERMION QUASINORMAL MODES OF BLACK HOLES ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ DIFFERENTIAL OPERATORS ON SCHWARTZ DISTRIBUTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Internal, external, and generalized symmetries
• Smoothness and locality for nonunital spectral triples
• Local BRST cohomology in gauge theories
• Cohomology of the variational complex in the class of exterior forms of finite jet order
• Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
• Cohomology of the infinite-order jet space and the inverse problem
• Noether’s second theorem for BRST symmetries
• The antifield Koszul–Tate complex of reducible Noether identities
• THE POINCARÉ–CARTAN FORM IN SUPERFIELD THEORY
• Iterated BRST cohomology
• Jet coordinates for local BRST cohomology

This page was built for publication: GRADED INFINITE ORDER JET MANIFOLDS