1. CJM 2012 (vol 65 pp. 544)
|Iterated Integrals and Higher Order Invariants|
We show that higher order invariants of smooth functions can be written as linear combinations of full invariants times iterated integrals. The non-uniqueness of such a presentation is captured in the kernel of the ensuing map from the tensor product. This kernel is computed explicitly. As a consequence, it turns out that higher order invariants are a free module of the algebra of full invariants.
Keywords:higher order forms, iterated integrals
Categories:14F35, 11F12, 55D35, 58A10