A support structure for a stator of a generator, in particular of a wind turbine is provided, wherein the support structure includes a carrier element extending in an axial direction, wherein the carrier element includes a base section, a side section and a top section and wherein the base section of at least one carrier element of the plurality of carrier elements is connected to the base section of another one carrier element of the plurality of carrier elements. A plurality of circumferential connecting elements circumferentially protruding from the base section of one carrier element is connected to another plurality of connecting elements circumferentially protruding from the base section of another carrier element in order to provide a connection between the one and the other carrier element, a plurality of cooling pockets being formed between the connecting elements for cooling air to pass.