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We now extend our treatmentRiemannian spin manifold ofSpin manifold noncommutative geometric spaces from the finite case to the continuum. This generalizes spin manifoldsSpin manifold to the noncommutative world. The resulting spectral triplesSpectral triple (Chapter 5) form the key technical device in noncommutative geometry, and in the physical applications of Part 2 of this book in particular.

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Riemannian Spin Manifolds

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Walter D. van Suijlekom

摘要

We now extend our treatmentRiemannian spin manifold ofSpin manifold noncommutative geometric spaces from the finite case to the continuum. This generalizes spin manifoldsSpin manifold to the noncommutative world. The resulting spectral triplesSpectral triple (Chapter 5) form the key technical device in noncommutative geometry, and in the physical applications of Part 2 of this book in particular.