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Showing 1 to 2 of 2 for “"Gromov-Hausdorff convergence"”.
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Quantum Metrics on Approximately Finite-Dimensional Algebras
… finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity. We then study the geometry, for the quantum propinquity, of three natural classes of AF algebras equipped with our quantum metrics: the UHF algebras, the Effros-Shen AF algebras associated with continued fraction …
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Hitchin Functionals, h-Principles and Spectral Invariants
This thesis investigates Hitchin functionals and $h$-principles for stable forms on oriented manifolds, with a special focus on $\mathrm{G}_2$ and $\widetilde{\mathrm{G}}_2$ 3- and 4-forms. Additionally, it introduces two new spectral invariants of torsion-free $\mathrm{G}_2$-structures. Part I …