Iterated Differential Forms III: Integral Calculus

Abstract

Basic elements of integral calculus over algebras of iterated differential forms, are presented. In particular, defining complexes for modules of integral forms are described and the corresponding berezinians and complexes of integral forms are computed. Various applications and the integral calculus over the algebra ${\Lambda }_{\infty }$ will be discussed in subsequent notes.

7 pages, submitted to Math. Dokl

References in corpus (2)

• Iterated Differential Forms I: Tensors
• Iterated Differential Forms II: Riemannian Geometry Revisited

Cited by in corpus (2)

• Iterated Differential Forms VI: Differential Equations
• Iterated Differential Forms V: C-Spectral Sequence on Infinite Jet Spaces