Riemannian manifolds in noncommutative geometry
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| Autores: | , , |
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| Format: | artículo original |
| Fecha de Publicación: | 2012 |
| Beskrivelse: | We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbounded Kasparov modules, we show one can obtain such Riemannian manifolds from noncommutative spin^c manifolds; and conversely, in the presence of a spin^c structure. We also show how to obtain an analogue of Kasparov's fundamental class for a Riemannian manifold, and the associated notion of Poincaré duality. Along the way we clarify the bimodule and first-order conditions for spectral triples. |
| País: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Sprog: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/89498 |
| Online adgang: | https://www.sciencedirect.com/science/article/pii/S0393044012000629 https://hdl.handle.net/10669/89498 |
| Palabra clave: | geometría no conmutativa variedad riemanniana triple espectral grupo de Kasparov |