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We analyze the level sets of the norm of the Witten spinor in anasymptotically flat Riemannian spin manifold of positive scalar curvature.Level sets of small area are constructed. We prove curvature estimates whichquantify that, if the total mass becomes small, the manifold becomes flat withthe exception of a set of small surface area. These estimates involve either avolume bound or a spectral bound for the Dirac operator on a conformalcompactification, but they are independent of the isoperimetric constant.Comment: 15 pages, LaTeX (published version

A Level Set Analysis of the Witten Spinor with Applications to Curvature Estimates curves of even genus