The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus

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dc.creatorSegal, Ed
dc.date2007-02-19
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:39Z
dc.date.available2026-07-07T09:49:39Z
dc.descriptionLet A be an augmented algebra over a semi-simple algebra S. We show that the Ext algebra of S as an A-module, enriched with its natural A-infinity structure, can be used to reconstruct the completion of A at the augmentation ideal. We use this technical result to justify a calculation in the physics literature describing algebras that are derived equivalent to certain non-compact Calabi-Yau three-folds. Since the calculation produces superpotentials for these algebras we also include some discussion of superpotential algebras and their invariants.
dc.descriptionFinal version, to be published in J. Algebra
dc.identifierhttps://arxiv.org/abs/math/0702539
dc.identifierhttp://arxiv.org/abs/math/0702539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164668
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.titleThe A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
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