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scientific article; zbMATH DE number 1246864
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scientific article; zbMATH DE number 1246864

    Statements

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    31 January 1999
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    characteristic classes
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    noncommutative differential geometry
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    homotopy-invariant rational Pontryagin numbers
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    non-simply connected manifolds
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    Novikov conjecture
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    homotopy invariance of higher signatures
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    Mishchenko symmetric signature
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    generalized Hirzebruch formulae
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    complete Riemannian non-positive curvature manifold
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    Bruhat-Tits building
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    KK-theory
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    cyclic homology
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    cyclic and dihedral homology
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    \(C^*\)-index theorem
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    generalized Lefschetz numbers
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    spinor manifolds
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    Atiyah-Singer index theorem
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    Dirac operator
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    functional integration
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    supermanifolds
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    \(C^*\)-Hilbert modules
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    K-theory
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    \(C^*\)-bundles
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    Fredholm representations
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    differential topological
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