Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory
K-Theory and Homology
2025-06-25 v2
Abstract
We find lower bounds on the rank of a "real" vector bundle over an involutive space, such that "real" vector bundles of higher rank have a trivial summand and such that a stable isomorphism for such bundles implies ordinary isomorphism. We prove similar lower bounds also for "quaternionic" bundles. These estimates have consequences for the classification of topological insulators with time-reversal symmetry.
Cite
@article{arxiv.2501.15993,
title = {Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory},
author = {Malkhaz Bakuradze and Ralf Meyer},
journal= {arXiv preprint arXiv:2501.15993},
year = {2025}
}
Comments
8 pages final version to appear in NYJM, only a few typos were corrected