Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}

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We prove global well-posedness for the L^{2}-critical cubic defocusing nonlinear Schrödinger equation on R^{2} with data u_{0} \in H^{s}(R^{2}) for s > {1/3}.
16 pages

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