Irremediably singular quantum branched covers
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917526193045504 |
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| author | Chirvasitu, Alexandru |
| author_facet | Chirvasitu, Alexandru |
| contents | We prove that the Natsume-Olsen non-commutative spheres $\mathbb{S}^{2n-1}_θ$ dualize for rational deformation parameters to provide examples of quantum branched covers over their respective centers' maximal spectra, embeddable into locally trivial $C^*$ bundles precisely when said spheres are classical; this, despite the bundles in question being of finite type over dimensional strata. The proof of the noted rigidity phenomenon relies on the quantum analogue of the 3-sphere's Heegaard splitting as a pushout of two solid tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24007 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Irremediably singular quantum branched covers Chirvasitu, Alexandru Quantum Algebra Algebraic Topology Functional Analysis Operator Algebras 46M20 55R10, 46L85, 46L65, 53B21, 46L30, 55R40, 55S40 We prove that the Natsume-Olsen non-commutative spheres $\mathbb{S}^{2n-1}_θ$ dualize for rational deformation parameters to provide examples of quantum branched covers over their respective centers' maximal spectra, embeddable into locally trivial $C^*$ bundles precisely when said spheres are classical; this, despite the bundles in question being of finite type over dimensional strata. The proof of the noted rigidity phenomenon relies on the quantum analogue of the 3-sphere's Heegaard splitting as a pushout of two solid tori. |
| title | Irremediably singular quantum branched covers |
| topic | Quantum Algebra Algebraic Topology Functional Analysis Operator Algebras 46M20 55R10, 46L85, 46L65, 53B21, 46L30, 55R40, 55S40 |
| url | https://arxiv.org/abs/2605.24007 |