Differential $KO$-theory via gradations and mass terms
K-Theory and Homology
2022-01-17 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Algebraic Topology
math.MP
Abstract
We construct models of the differential -theory and the twisted differential -theory, by refining Karoubi's -theory [Kar78] in terms of gradations on Clifford modules. In order for this, we set up the generalized Clifford superconnection formalism which generalizes the Quillen's superconnection formalism [Qui85]. One of our models can be regarded as classifying "fermionic mass terms" in physics.
Cite
@article{arxiv.2111.01377,
title = {Differential $KO$-theory via gradations and mass terms},
author = {Kiyonori Gomi and Mayuko Yamashita},
journal= {arXiv preprint arXiv:2111.01377},
year = {2022}
}
Comments
74 pages, minor changes in v2