Iterated integrals over higher dimensional loops

Details Iterated integrals over higher dimensional loops Iterated integrals over higher dimensional loops

2012-03-16

arxiv.org/abs/1203.3768v1

Mathematics

Differential Geometry

Scientific paper

We give a definition of higher dimensional iterated integrals based on
integration over membranes. We prove basic properties of this definition and
formulate a conjecture which extends Chen's de Rham Theorem for iterated
integrals to the membrane case.

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