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From Zwiebach invariants to Getzler relation

A. Losev·S. Shadrin
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Abstract

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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A. Losev, S. Shadrin. 2006-04-02. From Zwiebach invariants to Getzler relation. https://doi.org/10.1007/s00220-007-0217-3

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