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arxiv: math/0506039 · v2 · pith:FCAUBQQSnew · submitted 2005-06-02 · 🧮 math.QA · math.AG

From Zwiebach invariants to Getzler relation

classification 🧮 math.QA math.AG
keywords invariantszwiebachgetzlergromov-witteninducesstructuresubbicomplexalgebra
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We introduce the notion of Zwiebach invariants that generalize Gromov-Witten invariants and homotopical algebra structures. We outline the induction procedure that induces the structure of Zwiebach on the subbicomplex, that gives the structure of Gromov-Witten invariants on subbicomplex with zero diffferentials. We propose to treat Hodge dGBV with 1/12 axiom as the simplest set of Zwiebach invariants, and explicitely prove that it induces WDVV and Getzler equations in genera 0 and 1 respectively.

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