Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples: Isospectral deformations of Eguchi-Hanson spaces as nonunital spectral triples
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| Title: | Isospectral Deformations of Eguchi-Hanson Spaces as Nonunital Spectral Triples: Isospectral deformations of Eguchi-Hanson spaces as nonunital spectral triples |
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| Authors: | Chen Yang |
| Source: | Communications in Mathematical Physics. 288:615-652 |
| Publication Status: | Preprint |
| Publisher Information: | Springer Science and Business Media LLC, 2009. |
| Publication Year: | 2009 |
| Subject Terms: | spin geometry, summability, Mathematics - Operator Algebras, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, Quantizations, deformations for selfadjoint operator algebras, Mathematical Physics (math-ph), isospectral deformation, 01 natural sciences, spectral triple, noncommutative differential geometry, 0103 physical sciences, FOS: Mathematics, Noncommutative geometry in quantum theory, 0101 mathematics, Operator Algebras (math.OA), Eguchi-Hanson space, Noncommutative global analysis, noncommutative residues, Mathematical Physics |
| Description: | 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. 43 pages |
| Document Type: | Article Other literature type |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/s00220-009-0786-4 |
| DOI: | 10.48550/arxiv.0804.2114 |
| Access URL: | http://arxiv.org/pdf/0804.2114 http://arxiv.org/abs/0804.2114 https://link.springer.com/article/10.1007/s00220-009-0786-4?view=classic https://link.springer.com/article/10.1007%2Fs00220-009-0786-4 https://ui.adsabs.harvard.edu/abs/2009CMaPh.288..615Y/abstract https://arxiv.org/pdf/0804.2114v1.pdf https://arxiv.org/abs/0804.2114 |
| Rights: | Springer TDM arXiv Non-Exclusive Distribution |
| Accession Number: | edsair.doi.dedup.....ccf2fb6b3ad9486d79b58dfa05e80d94 |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | 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.<br />43 pages |
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| ISSN: | 14320916 00103616 |
| DOI: | 10.1007/s00220-009-0786-4 |