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Orbifolds are not commutative geometries

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Rennie, Adam
Várilly Boyle, Joseph C.

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Abstract

In this note we show that the crucial orientation condition for commutative geometries fails for the natural commutative spectral triple of an orbifold M/G.

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GEOMETRY, MATHEMATICS

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https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/orbifolds-are-not-commutative-geometries/50F6DAE3AFEAB7E4C8955749085D2168

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