Higher holonomy and iterated integrals (Q2055086)
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scientific article; zbMATH DE number 7438870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher holonomy and iterated integrals |
scientific article; zbMATH DE number 7438870 |
Statements
Higher holonomy and iterated integrals (English)
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3 December 2021
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Summary: We develop a method to construct representations of the homotopy \(n\)-groupoid of a manifold as an \(n\)-category by means of K.-T. Chen's formal homology connections for any positive integer \(n\). We establish a higher holonomy functor from the homotopy \(n\)-groupoid to a category obtained from the tensor algebra over the homology of the manifold. For the entire collection see [Zbl 1466.57001].
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representations
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homotopy \(n\)-groupoid of a manifold
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Chen formal homology connections
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iterated path integrals
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differential forms
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loop space
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\(n\)-holonomy functor
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complements of complex hyperplane arrangements
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