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Free keywords:
Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,Mathematics, Quantum Algebra, math.QA
Abstract:
For matrix analogues of embedded surfaces we define discrete curvatures and
Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to
follow. We derive simple expressions for the discrete Gauss curvature in terms
of matrices representing the embedding coordinates, and provide a large class
of explicit examples illustrating the new notions.
