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Constructing Two Metrics for Hodge Theory of Constrained Bundles: Harmonic Stability and Magnetic Coercivity
We study two metric constructions for Hodge theory on bundles, together with the response of harmonic representatives and magnetic energies to degeneration. Our first result is an $L^1$ coercivity estimate for the covariant derivative on functions of bounded variation: the coercivity constant is pos
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