Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples

Details Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples

2008-04-14

arxiv.org/abs/0804.2114v1

Mathematics

Operator Algebras

43 pages

Scientific paper

10.1007/s00220-009-0786-4

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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