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Malkhaz Bakuradze and
Ralf Meyer
Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory
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| Published: |
April 12, 2025. |
| Keywords: |
topological insulator; "real" K-theory; "quaternionic" K-theory; stable isomorphism. |
| Subject [2010]: |
19L99 (primary); 19L47, 55S35 (secondary). |
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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.
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| Acknowledgements
This work was supported by the Shota Rustaveli National Science
Foundation of Georgia (SRNSFG) grant FR-23-779.
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| Author information
Malkhaz Bakuradze
Faculty of Exact and Natural Sciences
Tbilisi State University
Tbilisi, Georgia
malkhaz.bakuradze@tsu.ge
Ralf Meyer
Mathematisches Institut
Universitat Gottingen
Bunsenstrass e 3--5
37073 Gottingen, Germany
rmeyer2@uni-goettingen.de
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