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· 2025 · arXiv 2502.20699

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math.CT 1

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2026 1

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Ehresmann connections in tangent categories

math.CT · 2026-06-05 · unverdicted · novelty 7.0

Ehresmann connections are defined in tangent categories via equivalent formulations as full and abstract connections, shown to generalize Koszul connections, with parallel transport, curvature, structural equation, and Bianchi identity established.

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  • Ehresmann connections in tangent categories math.CT · 2026-06-05 · unverdicted · none · ref 7

    Ehresmann connections are defined in tangent categories via equivalent formulations as full and abstract connections, shown to generalize Koszul connections, with parallel transport, curvature, structural equation, and Bianchi identity established.