Graded infinite order jet manifolds

Abstract

The relevant material on differential calculus on graded infinite order jet manifolds and its cohomology is summarized. This mathematics provides the adequate formulation of Lagrangian theories of even and odd variables on smooth manifolds in terms of the Grassmann-graded variational bicomplex.

30 pages

References in corpus (4)

• Noether's second theorem for BRST symmetries
• The antifield Koszul-Tate complex of reducible Noether identities
• Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
• The Poincaré-Cartan Form in Superfield Theory

Cited by in corpus (5)

• The KT-BRST complex of a degenerate Lagrangian system
• Fermionic fields in the functional approach to classical field theory
• On the notion of gauge symmetries of generic Lagrangian field theory
• Classical field theory. Advanced mathematical formulation
• Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes