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Flat bundles and holonomy homomorphisms

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Abstract

Using the natural equivalence relation in the set of flat Banach principal fibre bundles with group G and connected base B, we obtain a bisection between the corresponding equivalence classes and classes of similar homomorphisms of π1(B) into G.

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  1. Institute of Mathematics, University of Athens, 57, Solonos Str., Athens 143, Greece

    Efstathios Vassiliou

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  1. Efstathios Vassiliou
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Vassiliou, E. Flat bundles and holonomy homomorphisms. Manuscripta Math 42, 161–170 (1983). https://doi.org/10.1007/BF01169581

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  • DOI: https://doi.org/10.1007/BF01169581

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