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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.09240 |
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| _version_ | 1866918139140243456 |
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| author | Hayashi, Shin |
| author_facet | Hayashi, Shin |
| contents | We provide an index-theoretic proof of the bulk-boundary correspondence for two- and three-dimensional second-order topological insulators that preserve inversion symmetry, which are modeled as rectangles and rectangular prism-shaped systems. Our method uses extensions of the symbols of some Toeplitz operators on discrete quarter planes and computations of topological equivariant K-theory groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Index theory and bulk-boundary correspondence for inversion-symmetric second-order topological insulators Hayashi, Shin K-Theory and Homology Mathematical Physics 19K56 (Primary) 15A23, 47B35, 81V99 (Secondary) We provide an index-theoretic proof of the bulk-boundary correspondence for two- and three-dimensional second-order topological insulators that preserve inversion symmetry, which are modeled as rectangles and rectangular prism-shaped systems. Our method uses extensions of the symbols of some Toeplitz operators on discrete quarter planes and computations of topological equivariant K-theory groups. |
| title | Index theory and bulk-boundary correspondence for inversion-symmetric second-order topological insulators |
| topic | K-Theory and Homology Mathematical Physics 19K56 (Primary) 15A23, 47B35, 81V99 (Secondary) |
| url | https://arxiv.org/abs/2509.09240 |