Temporal Lorentzian spectral triples (Q2930101)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Temporal Lorentzian spectral triples |
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Temporal Lorentzian spectral triples (English)
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18 November 2014
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noncommutative geometry
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Lorentzian geometry
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spectral triples
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reconstruction
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The author introduces the notion of a temporal Lorentzian spectral triple; roughly speaking, such triples correspond to the non-commutative manifolds with a hyperbolic metric. For the commutative temporal Lorentzian spectral triple a reconstruction-type result is proved, i.e. one can recover the hyperbolic metric from the spectral triple data. As a model example, the author constructs a temporal Lorentzian spectral triple for the Moyal-Minkowski spacetime.
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