On quasi-isomorphic DGBV algebras
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
One of the methods to obtain Frobenius manifold structures is via DGBV (differential Gerstenhaber-Batalin-Vilkovisky) algebra construction. An important problem is how to identify Frobenius manifold structures constructed from two different DGBV algebras. For DGBV algebras with suitable conditions, we show the functorial property of a construction of deformations of the multiplicative structures of their cohomology. In particular, we show that quasi-isomorphic DGBV algebras yield identifiable Frobenius manifold structures.
Cite
@article{arxiv.math/9904168,
title = {On quasi-isomorphic DGBV algebras},
author = {Huai-Dong Cao and Jian Zhou},
journal= {arXiv preprint arXiv:math/9904168},
year = {2007}
}
Comments
16 pages, AMS-LaTex