Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916808313798656 |
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| author | Bakuradze, Malkhaz Meyer, Ralf |
| author_facet | Bakuradze, Malkhaz Meyer, Ralf |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory Bakuradze, Malkhaz Meyer, Ralf K-Theory and Homology 19L99 (primary), 19L47, 55S35 (secondary) 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. |
| title | Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory |
| topic | K-Theory and Homology 19L99 (primary), 19L47, 55S35 (secondary) |
| url | https://arxiv.org/abs/2501.15993 |