A uniform Poincar\'e estimate for quadratic differentials on closed surfaces
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🧮 math.DG
math.AP
keywords
quadraticcloseddifferentialsestimateuniformantiholomorphicboundsderivative
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We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that bounds the distance of any quadratic differential to the finite dimensional space of holomorphic quadratic differentials in terms of its antiholomorphic derivative.
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