The families Clifford index and differential KO-theory
Algebraic Topology
2023-03-17 v1 Differential Geometry
Abstract
Extending ideas of Atiyah--Bott--Shapiro and Quillen, we construct a model for differential -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.
Cite
@article{arxiv.2303.09091,
title = {The families Clifford index and differential KO-theory},
author = {Daniel Berwick-Evans},
journal= {arXiv preprint arXiv:2303.09091},
year = {2023}
}
Comments
37 pages