Conformal Structures in Noncommutative Geometry

نویسنده

  • CHRISTIAN BÄR
چکیده

It is well-known that a compact Riemannian spin manifold (M, g) can be reconstructed from its canonical spectral triple (C∞(M), L2(M,ΣM),D) where ΣM denotes the spinor bundle and D the Dirac operator. We show that g can be reconstructed up to conformal equivalence from (C∞(M), L2(M,ΣM), sign(D)).

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تاریخ انتشار 2008