Iterated Differential Forms III: Integral Calculus

Details Iterated Differential Forms III: Integral Calculus Iterated Differential Forms III: Integral Calculus

2006-10-30

arxiv.org/abs/math/0610914v1

Dokl. Math. 75 (2007) 177-180

Mathematics

Differential Geometry

7 pages, submitted to Math. Dokl

Scientific paper

10.1134/S1064562407020019

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.

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