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arxiv: 0907.3508 · v2 · pith:VBLFRWOOnew · submitted 2009-07-20 · 🧮 math.DG · hep-th· math.AT· math.KT

An index theorem in differential K-theory

classification 🧮 math.DG hep-thmath.ATmath.KT
keywords differentialk-theoryindicesanalyticclassclassesdefinegiven
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Let X --> B be a proper submersion with a Riemannian structure. Given a differential K-theory class on X, we define its analytic and topological indices as differential K-theory classes on B. We prove that the two indices are the same.

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