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We establish two WDVV-style relations for the disk invariants of realsymplectic fourfolds by implementing Georgieva's suggestion to lift homologyrelations from the Deligne-Mumford moduli spaces of stable real curves. This isaccomplished by lifting judiciously chosen cobordisms realizing theserelations. The resulting lifted relations lead to the recursions forWelschinger's invariants announced by Solomon in~2007 and have the samestructure as his WDVV-style relations, but differ by signs from the latter. Ourtopological approach provides a general framework for lifting relations viamorphisms between not necessarily orientable spaces.

Steenrod Pseudocycles, Lifted Cobordisms, and Solomon's Relations for Welschinger's Invariants