Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples
classification
🧮 math.OA
math-phmath.MP
keywords
conditionsdeformationseguchi-hansonisospectralnoncommutativenonunitalspacesspectral
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We study the isospectral deformations of the Eguchi-Hanson spaces along a torus isometric action in the noncompact noncommutative geometry. We concentrate on locality, smoothness and summability conditions of the nonunital spectral triples, and relate them to the geometric conditions to be noncommutative spin manifolds.
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