On globally non-trivial almost-commutative manifolds
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...[Show more]
|Collections||ANU Research Publications|
|Source:||Journal of Mathematical Physics|
|01_Boeijink_On_globally_non-trivial_2014.pdf||Published Version||634.71 kB||Adobe PDF|
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