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arXiv · 0708.3442

Differential Gerstenhaber algebras associated to nilpotent algebras

Richard Cleyton·Yat Sun Poon
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Abstract

This article provides a complete description of the differential Gerstenhaber algebras of all nilpotent complex structures on any real six-dimensional nilpotent algebra. As an application, we classify all pseudo-Kählerian complex structures on six-dimensional nilpotent algebras such that the differential Gerstenhaber algebra of its complex structure is quasi-isomorphic to that of its symplectic structure. In a weak sense of mirror symmetry, it is a classification of pseudo-Kähler structures on six-dimensional nilpotent algebras whose mirror images are themselves.

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BibTeXRIS

Richard Cleyton, Yat Sun Poon. 2007-10-20. Differential Gerstenhaber algebras associated to nilpotent algebras. https://arxiv.org/abs/0708.3442

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