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arXiv · 1406.0075

Synthetic Differential Geometry of Chen's Iterated Integrals

Hirokazu Nishimura
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Abstract

Chen's iterated integrals are treated within synthetic differential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces.

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Hirokazu Nishimura. 2014-05-31. Synthetic Differential Geometry of Chen's Iterated Integrals. https://arxiv.org/abs/1406.0075

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