An index theorem in differential K-theory

作者：Freed Daniel S^*; Lott John

来源：GEOMETRY & TOPOLOGY, 2010, 14(2): 903-966.

DOI：10.2140/gt.2010.14.903

Let pi: 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.

• 出版日期2010