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We introduce the notion of Zwiebach invariants that generalize Gromov-Witteninvariants and homotopical algebra structures. We outline the inductionprocedure that induces the structure of Zwiebach on the subbicomplex, thatgives the structure of Gromov-Witten invariants on subbicomplex with zerodiffferentials. We propose to treat Hodge dGBV with 1/12 axiom as the simplestset of Zwiebach invariants, and explicitely prove that it induces WDVV andGetzler equations in genera 0 and 1 respectively.Comment: 35 page

From Zwiebach Invariants to Getzler Relation