Small data in the critical Sobolev space scatter globally for mass-supercritical NLS on R^m x T^n, for all powers alpha>4/m with sc<1+alpha.
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Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds
Small data in the critical Sobolev space scatter globally for mass-supercritical NLS on R^m x T^n, for all powers alpha>4/m with sc<1+alpha.