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IceTop is an air shower array located on the Antarctic ice sheet at thegeographic South Pole. IceTop can detect an astrophysical flux of neutrons fromGalactic sources as an excess of cosmic ray air showers arriving from thesource direction. Neutrons are undeflected by the Galactic magnetic field andcan typically travel 10 ($E$ / PeV) pc before decay. Two searches are performedusing 4 years of the IceTop dataset to look for a statistically significantexcess of events with energies above 10 PeV ($10^{16}$ eV) arriving within asmall solid angle. The all-sky search method covers from -90$^{\circ}$ toapproximately -50$^{\circ}$ in declination. No significant excess is found. Atargeted search is also performed, looking for significant correlation withcandidate sources in different target sets. This search uses a higher energycut (100 PeV) since most target objects lie beyond 1 kpc. The target setsinclude pulsars with confirmed TeV energy photon fluxes and high-mass X-raybinaries. No significant correlation is found for any target set. Flux upperlimits are determined for both searches, which can constrain Galactic neutronsources and production scenarios.

Search for Sources of High Energy Neutrons with Four Years of Data from the IceTop Detector