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math-ph2013★ 80 cited
Inner Fluctuations in Noncommutative Geometry without the first order condition
Ali H. Chamseddine, Alain Connes, Walter D. van Suijlekom
We extend inner fluctuations to spectral triples that do not fulfill the first-order condition. This involves the addition of a quadratic term to the usual linear terms. We find a…
math-ph2012★ 1 cited
Dimensional Reduction without Extra Continuous Dimensions
Ali Chamseddine, Juerg Froehlich, Baptiste Schubnel +1
We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential form…