The study of topological properties by machine learning approaches has attracted considerable interest recently. Here we propose the invariants that are unique in non-Hermitian systems. Specifically, train neural networks to predict winding eigenvalues four prototypical Hamiltonians on complex energy plane with nearly $100\%$ accuracy. Our demonstrations Hatano-Nelson model, Su-Schrieffer-Heege...

A bstract We compute the logarithmic correction to entropy of asymptotically AdS 4 black holes in minimal $$ \mathcal{N} N = 2 gauged supergravity. show that for extremal computed near horizon geometry agrees with result full up zero mode contributions, thus clarifying where quantum degrees freedom lie spacet...

The skin effect and topological edge states in non-Hermitian system have been well-studied, the second-order corner modes also proposed recently. In this paper, we construct nested tight-binding formalism to research analytically, which is a direct description of generic model without other assumptions. Within formalism, obtain exact solutions zero-energy for four-band model. We validate hybrid...

We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular...

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the context of 3D surface analysis for the classification of different surface textures. We present a comprehensive study on topological descriptors, investigate th...

Topological quantum matter can be realized by subjecting engineered systems to time-periodic modulations. In analogy with static systems, periodically driven quantum matter can be topologically classified by topological invariants, whose non-zero value guarantees the presence of robust edge modes. In the high-frequency limit of the drive, topology is described by standard topological invariants...

We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with N = 1 and N = 2 world-sheet supersymmetry are considered. The topological symmetry associated with the topological supergravity representation is studied. It is show...