Topological insulators and stable isomorphism versus isomorphism of vector bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911246210564096 |
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| author | Meyer, Ralf |
| author_facet | Meyer, Ralf |
| contents | This note gives an overview of the mathematical framework underlying topological insulators, highlighting the connection to K-theory and vector bundles. We see ``real'' and ``quaternionic'' vector bundles arise naturally in the presence of time-reversal symmetry. Our recent results about when stable isomorphism implies isomorphism are summarised, including some ongoing work for G-equivariant K-theory for finite groups. This clarifies when K-theory completely distinguishes topological phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological insulators and stable isomorphism versus isomorphism of vector bundles Meyer, Ralf K-Theory and Homology 46L80 (Primary) 19L41 (Secondary) This note gives an overview of the mathematical framework underlying topological insulators, highlighting the connection to K-theory and vector bundles. We see ``real'' and ``quaternionic'' vector bundles arise naturally in the presence of time-reversal symmetry. Our recent results about when stable isomorphism implies isomorphism are summarised, including some ongoing work for G-equivariant K-theory for finite groups. This clarifies when K-theory completely distinguishes topological phases. |
| title | Topological insulators and stable isomorphism versus isomorphism of vector bundles |
| topic | K-Theory and Homology 46L80 (Primary) 19L41 (Secondary) |
| url | https://arxiv.org/abs/2511.00695 |