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math.DG2024
Index theory on Pin manifolds
Daniel S. Freed
We give a systematic treatment of index theory on Pin manifolds, based on the Clifford linear Dirac operator and differential KO-theory. This expository article is based on joint w…
math.DG2009★ 69 cited
An index theorem in differential K-theory
Daniel S. Freed, John Lott
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 cl…