The families Clifford index and differential KO-theory
Abstract
Extending ideas of Atiyah--Bott--Shapiro and Quillen, we construct a model for differential KO-theory whose cocycles are families of Clifford modules with superconnection. The model is built to accommodate an analytic pushforward for bundles of spin manifolds, affording a differential refinement of Atiyah and Singer's families index.
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