From Zwiebach invariants to Getzler relation
Quantum Algebra
2010-10-04 v2 Algebraic Geometry
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.
Cite
@article{arxiv.math/0506039,
title = {From Zwiebach invariants to Getzler relation},
author = {A. Losev and S. Shadrin},
journal= {arXiv preprint arXiv:math/0506039},
year = {2010}
}
Comments
35 pages