On quasi-isomorphic DGBV algebras

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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.
16 pages, AMS-LaTex

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78427

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904168
 http://arxiv.org/abs/math/9904168

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arXiv