Complex structures on Three-point space
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916244192493568 |
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| author | Bhattacharjee, Suvrajit Goswami, Debashish |
| author_facet | Bhattacharjee, Suvrajit Goswami, Debashish |
| contents | We discuss notions of almost complex, complex and Kähler structures in the realm of non-commutative geometry and investigate them for a class of finite dimensional spectral triples on the three-point space. We classify all the almost complex structures on this non-commutative manifold, which also turn out to be complex structures, but none of them are Kähler in our sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complex structures on Three-point space Bhattacharjee, Suvrajit Goswami, Debashish Quantum Algebra We discuss notions of almost complex, complex and Kähler structures in the realm of non-commutative geometry and investigate them for a class of finite dimensional spectral triples on the three-point space. We classify all the almost complex structures on this non-commutative manifold, which also turn out to be complex structures, but none of them are Kähler in our sense. |
| title | Complex structures on Three-point space |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2405.07866 |