Frobenius Manifold Structure on Dolbeault Cohomology and Mirror Symmetry

1998/05/21 by Huai-Dong Cao, Jian Zhou, Cao, Huai-Dong +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.DG #math.QA

paper · pdf · doi:10.48550/arxiv.math/9805094

10 pages, AMS LaTex

openalex publication_date 1998/05/21 · arxiv created 1998/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a differential Gerstenhaber-Batalin-Vilkovisky algebra from Dolbeault complex of any close Kaehler manifold, and a Frobenius manifold structure on Dolbeault cohomology.

Citations

• Three constructions of Frobenius manifolds: a comparative study

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