Natural differential operators and graph complexes
Differential Geometry
2008-02-28 v2 Algebraic Topology
Abstract
We show how the machine of PROP profiles invented by S. Merkulov can be used to study and classify natural operators in differential geometry. We also give an interpretation of graph complexes arising in this context in terms of representation theory. As application, we prove several results on classification of natural operators acting on vector fields and connections.
Keywords
Cite
@article{arxiv.math/0612183,
title = {Natural differential operators and graph complexes},
author = {Martin Markl},
journal= {arXiv preprint arXiv:math/0612183},
year = {2008}
}
Comments
30 pages, submitted version