Authors: A. M. Vinogradov and G. Moreno
Domains in infinite jets present the simplest class of diffieties with boundary.
In this note some basic elements of geometry of these domains are introduced and
an analogue of the C-spectral sequence
in this context is studied. This, in particular, allows cohomological interpretation
and analysis of initial data, boundary conditions, etc,
for general partial differential equations and of transversality conditions in calculus
of variations. This kind applications and extensions to arbitrary diffieties will be
considered in subsequent publications.
See also arXiv: math.DG/0609079.
7 pages, LaTeX-2e.
To compile source files (.tex) one needs the title page style file titlatex.tex.