%0 Journal Article %T An index theorem in differential K-theory %A Daniel S. Freed %A John Lott %J Mathematics %D 2009 %I arXiv %R 10.2140/gt.2010.14.903 %X 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. %U http://arxiv.org/abs/0907.3508v2