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arXiv · 2303.09091

The families Clifford index and differential KO-theory

Daniel Berwick-Evans
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Abstract

Extending ideas of Atiyah--Bott--Shapiro and Quillen, we construct a model for differential $\rm KO$-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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Daniel Berwick-Evans. 2023-03-16. The families Clifford index and differential KO-theory. https://arxiv.org/abs/2303.09091

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