  Topological superconductors are associated with the appearance of Majorana
bound states, with promising applications in topologically protected quantum
computing. In this Letter, we study a system where a skyrmion crystal is
interfaced with a normal metal. Through interfacial exchange coupling, spin
fluctuations in the skyrmion crystal mediate an effective electron-electron
interaction in the normal metal. We study superconductivity within a
weak-coupling approach and solve gap equations both close to the critical
temperature and at zero temperature. Special features in the effective
electron-electron interaction due to the noncolinearity of the magnetic ground
state yield topological superconductivity at the interface.
