Diagrammatics of Braided Group Gauge Theory

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We develop a gauge theory or theory of bundles and connections on them at the level of braids and tangles. Extending recent algebraic work, we provide now a fully diagrammatic treatment of principal bundles, a theory of global gauge transformations, associated braided fiber bundles and covariant derivatives on them. We describe the local structure for a concrete $Z_3$-graded or `anyonic' realization of the theory.
LATEX 40 pages with many .eps figures

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