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On quasi-isomorphic DGBV algebras

Huai-Dong Cao·Jian Zhou
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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.

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Huai-Dong Cao, Jian Zhou. 1999-04-29. On quasi-isomorphic DGBV algebras. https://arxiv.org/abs/math/9904168

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