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- W2962767936 abstract "We give a geometrical construction of Connes spectral triples or noncommutative Dirac operators $D$ starting with a bimodule connection on the proposed spinor bundle. The theory is applied to the example of $M_2(Bbb C)$, and also applies to the standard $q$-sphere and the $q$-disk with the right classical limit and all properties holding except for $mathcal J$ now being a twisted isometry. We also describe a noncommutative Chern construction from holomorphic bundles which in the $q$-sphere case provides the relevant bimodule connection." @default.
- W2962767936 created "2019-07-30" @default.
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- W2962767936 date "2017-01-01" @default.
- W2962767936 modified "2023-09-30" @default.
- W2962767936 title "Spectral triples from bimodule connections and Chern connections" @default.
- W2962767936 doi "https://doi.org/10.4171/jncg/11-2-7" @default.
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