ar X iv : g r - qc / 0 31 21 26 v 2 6 J ul 2 00 4 MODULI OF QUANTUM RIEMANNIAN GEOMETRIES ON ≤ 4 POINTS
نویسندگان
چکیده
We classify parallelizable noncommutative manifold structures on finite sets of small size in the general formalism of framed quantum manifolds and vielbeins introduced in [10]. The full moduli space is found for ≤ 3 points, and a restricted moduli space for 4 points. Generalised Levi-Civita connections and their curvatures are found for a variety of models including models of a discrete torus. The topological part of the moduli space is found for ≤ 9 points based on the known atlas of regular graphs.
منابع مشابه
ar X iv : g r - qc / 0 31 21 26 v 1 3 1 D ec 2 00 3 MODULI OF QUANTUM RIEMANNIAN GEOMETRIES ON ≤ 4 POINTS
We classify parallelizable noncommutative manifold structures on finite sets of small size in the general formalism of framed quantum manifolds and vielbeins introduced in [10]. The full moduli space is found for ≤ 3 points, and a restricted moduli space for 4 points. The topological part of the moduli space is found for ≤ 9 points based on the known atlas of regular graphs. We also discuss asp...
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