A proof of Bott periodicity via Quot schemes and bulk-edge correspondence
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910349396017152 |
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| author | Natori, Masaki |
| author_facet | Natori, Masaki |
| contents | In this paper, we give alternative proofs of Bott periodicity of $ K $-theory and the bulk-edge correspondence of integer quantum Hall effect. Regarding Bott periodicity, we connect its proof with configuration spaces and use Quot schemes in algebraic geometry in our proof. Regarding the bulk-edge correspondence, we formulate edge indices based on the consideration of Graf--Porta and give a more elementary and self-contained proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A proof of Bott periodicity via Quot schemes and bulk-edge correspondence Natori, Masaki K-Theory and Homology Mathematical Physics Algebraic Topology In this paper, we give alternative proofs of Bott periodicity of $ K $-theory and the bulk-edge correspondence of integer quantum Hall effect. Regarding Bott periodicity, we connect its proof with configuration spaces and use Quot schemes in algebraic geometry in our proof. Regarding the bulk-edge correspondence, we formulate edge indices based on the consideration of Graf--Porta and give a more elementary and self-contained proof. |
| title | A proof of Bott periodicity via Quot schemes and bulk-edge correspondence |
| topic | K-Theory and Homology Mathematical Physics Algebraic Topology |
| url | https://arxiv.org/abs/2403.00342 |