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This chapter introduces the mainRiemannian spin manifold technicalNoncommutative Riemannian spin manifolds deviceSpin manifold—spectral triplesSpectral triple—that generalizes Riemannian spin geometryRiemannian spin geometry to the noncommutative world. We exemplify this by means of toric noncommutative manifoldsToric noncommutative manifolds; this includes the noncommutative torusNoncommutative torus.

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Noncommutative Riemannian Spin Manifolds

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  • 出版模式：

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  • 发表日期：

    2025年

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  • Walter D. van Suijlekom

摘要

This chapter introduces the mainRiemannian spin manifold technicalNoncommutative Riemannian spin manifolds deviceSpin manifold—spectral triplesSpectral triple—that generalizes Riemannian spin geometryRiemannian spin geometry to the noncommutative world. We exemplify this by means of toric noncommutative manifoldsToric noncommutative manifolds; this includes the noncommutative torusNoncommutative torus.