3 problems

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Conjecture on the quantum isometry group of the $k$ -half-liberated sphere
Quantum isometry conjecture. The quantum group $H_N^{\diamond k}$ should appear as the quantum isometry group of $S^{N-1}_{\mathbb R,(k)}$ . If the conjectures in this discussion ho…
Conjectureopennoncommutative-spheres quantum-groups quantum-isometry-groupsarXiv posted 2 days ago
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Classicality conjecture for quantum isometry groups of connected Riemannian manifolds
Let $M$ be a compact, oriented, connected Riemannian manifold. Denote its quantum isometry group by the compact quantum group associated with $M$ , and let $ISO(M)$ be the classical…
Conjectureopencompact-quantum-groups quantum-isometry-groups riemannian-geometryarXiv posted 2 days ago
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The conjecture that non-classical compact quantum groups cannot act faithfully and isometrically on connected manifolds
Conjecture. A non-classical compact quantum group $G$ cannot act faithfully and isometrically on a compact connected Riemannian manifold $M$ .
Conjectureopennoncommutative-geometry quantum-groups quantum-isometry-groupsarXiv posted 2 days ago

Conjecture on the quantum isometry group of the kkk-half-liberated sphere