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Mathematics > Algebraic Topology
Title: The families Clifford index and differential KO-theory
(Submitted on 16 Mar 2023)
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.
Submission history
From: Daniel Berwick-Evans [view email][v1] Thu, 16 Mar 2023 05:31:44 GMT (48kb,D)
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