Differential Gerstenhaber algebras associated to nilpotent algebras - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: This article provides a complete description of the differential Gerstenhaberalgebras of all nilpotent complex structures on any real six-dimensionalnilpotent algebra. As an application, we classify all pseudo-K\-ahleriancomplex structures on six-dimensional nilpotent algebras such that thedifferential Gerstenhaber algebra of its complex structure is quasi-isomorphicto that of its symplectic structure. In a weak sense of mirror symmetry, it isa classification of pseudo-K\-ahler structures on six-dimensional nilpotentalgebras whose mirror images are themselves.



Author: Richard Cleyton, Yat Sun Poon

Source: https://arxiv.org/







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