From Zwiebach invariants to Getzler relation

Details From Zwiebach invariants to Getzler relation From Zwiebach invariants to Getzler relation

2005-06-02

arxiv.org/abs/math/0506039v2

Comm. Math. Phys. 271 (2007), no. 3, 649--679

Mathematics

Quantum Algebra

35 pages

Scientific paper

10.1007/s00220-007-0217-3

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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