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Abstract: Recently, some microlocal tools of Vasy have allowed a systematic study of low energy scattering off of fairly generic short range potentials. The case of a long-range, Coulomb-like potential differs substantially in terms of the asymptotics seen at low energy, both at fixed spatial…

We give constraints on intersection forms of spin 4-manifolds bounded by Seifert rational homology 3-spheres in terms of the \overline{μ} invariant and compare them with those in terms of the κ invariant given by Manolescu. We also show that the difference between κ and -\overline{μ} for a…