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• W3100448667 abstract "Within the framework of Connes’ noncommutative geometry, we define and study globally non-trivial (or topologically non-trivial) almost-commutative manifolds. In particular, we focus on those almost-commutative manifolds that lead to a description of a (classical) gauge theory on the underlying base manifold. Such an almost-commutative manifold is described in terms of a “principal module,” which we build from a principal fibre bundle and a finite spectral triple. We also define the purely algebraic notion of “gauge modules,” and show that this yields a proper subclass of the principal modules. We describe how a principal module leads to the description of a gauge theory, and we provide two basic yet illustrative examples." @default.
• W3100448667 created "2020-11-23" @default.
• W3100448667 creator A5035456840 @default.
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• W3100448667 date "2014-10-01" @default.
• W3100448667 modified "2023-10-18" @default.
• W3100448667 title "On globally non-trivial almost-commutative manifolds" @default.
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• W3100448667 doi "https://doi.org/10.1063/1.4898769" @default.
• W3100448667 hasPublicationYear "2014" @default.
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