Differential Gerstenhaber algebras associated to nilpotent algebras

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dc.creatorCleyton, Richard
dc.creatorPoon, Yat Sun
dc.date2007-08-25
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:09Z
dc.date.available2026-07-07T08:37:09Z
dc.descriptionThis 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.
dc.description30 Pages. 3 Tables. Proof of Theorem 29 is revised. Other minor edits
dc.identifierhttps://arxiv.org/abs/0708.3442
dc.identifierhttp://arxiv.org/abs/0708.3442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140300
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject32G05 (Primary) 32G07, 53D45 (Secondary)
dc.titleDifferential Gerstenhaber algebras associated to nilpotent algebras
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