Geodesic
Iterated Integrals and Higher Order Invariants
Canadian journal of mathematics, Tome 65 (2013) no. 3, pp. 544-552

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DOI

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, higher order invariants form a free module of the algebra of full invariants.
DOI : 10.4153/CJM-2012-020-8
Mots-clés : 14F35, 11F12, 55D35, 58A10, higher order forms, iterated integrals 
Deitmar, Anton; Horozov, Ivan. Iterated Integrals and Higher Order Invariants. Canadian journal of mathematics, Tome 65 (2013) no. 3, pp. 544-552. doi: 10.4153/CJM-2012-020-8
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