摘 要:Topological orders are gapped quantum liquid states without any symmetry. Most of their properties can be captured by investigating topological defects and excitations of various dimensions. Topological defects in n dimensions naturally form a (weak) n-category. In particular, anomalous topological order (boundary theory) is described by fusion n-category and anomaly-free topological ord...
AbstractIn this talk, we introduce some recent results on properties of solutions to fractional and higher order systems. For instance, the classification of solutions to conformally invariant systems with mixed order and exponentially increasing or nonlocal nonlinearity, and the uniform a priori estimates for positive solutions to the n-th order superlinear Lane-Emden system in bounded domains...
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