An index theorem in differential $K$–theory

Daniel S Freed; John Lott

doi:10.2140/gt.2010.14.903

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Home > Journals > Geom. Topol. > Volume 14 > Issue 2 > Article

2010 An index theorem in differential $K$–theory

Daniel S Freed, John Lott

Geom. Topol. 14(2): 903-966 (2010). DOI: 10.2140/gt.2010.14.903

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Abstract

Let $π : X \to B$ 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.