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arXiv · 2605.24007

Irremediably singular quantum branched covers

Alexandru Chirvasitu
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Abstract

We prove that the Natsume-Olsen non-commutative spheres $\mathbb{S}^{2n-1}_{\theta}$ 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.

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BibTeXRIS

Alexandru Chirvasitu. 2026-05-19. Irremediably singular quantum branched covers. https://arxiv.org/abs/2605.24007

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