Described herein are polishing apparatus, polishing formulations, and polymeric substrates for use in polishing surfaces, and related methods. The apparatus, formulations, substrates, and methods may each be used in applications involving the polishing of metal and/or metal-containing surfaces such as semiconductor wafers. The apparatus, formulations, polymeric substrates, and related methods described herein may be used without abrasives, and in some instances, without mechanical friction of a pad surface against the surface to be polished. Therefore, defects on a polished surface due to such mechanical polishing processes may be reduced.