Journal of Noncommutative Geometry
Full-Text PDF (120 KB) | Metadata | Table of Contents | JNCG summary
Published online: 2007-09-30
Conformal structures in noncommutative geometryChristian Bär (1) University of Potsdam, Germany
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)).
Keywords: Fredholm module, spectral triple, Dirac operator, conformally equivalent Riemannian metrics
Bär Christian: Conformal structures in noncommutative geometry. J. Noncommut. Geom. 1 (2007), 385-395. doi: 10.4171/JNCG/11