Results 21 to 30 of about 2,298,010 (344)
Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Alex Bearden, Mehrdad Kalantar
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Heptagonal Neutrosophic Topology [PDF]
Neutrosophic Sets and Systems, 2023 This article aims at developing the concept of heptagonal neutrosophic topology using heptagonal neutrosophic numbers. The heptagonal neutrosophic union,intersection and complement defined to compare the HNN.
E. Kungumaraj +2 more
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Boundary Criticality of PT-Invariant Topology and Second-Order Nodal-Line Semimetals. [PDF]
Physical Review Letters, 2020 For conventional topological phases, the boundary gapless modes are determined by bulk topological invariants. Based on developing an analytic method to solve higher-order boundary modes, we present PT-invariant 2D topological insulators and 3D ...
Kai Wang +4 more
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Grain-boundary topological superconductor
Communications Physics, 2023 AbstractMajorana zero modes (MZMs) are of central importance for modern condensed matter physics and quantum information due to their non-Abelian nature, which thereby offers the possibility of realizing topological quantum bits. We here show that a grain boundary (GB) defect can host a topological superconductor (SC), with a pair of cohabitating MZMs ...
Morten Amundsen, Vladimir Juričić
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Automatic learning of topological phase boundaries [PDF]
Physical Review E, 2021 Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine learning of topological phase transitions has generally proved difficult due to the global nature of the topological ...
Kieran Mullen +3 more
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Triangular Neutrosophic Topology [PDF]
Neutrosophic Sets and Systems, 2021 In this current article, the primary focus is to develop the concept of neutrosophic topology as triangular neutrosophic topology. We extend the neutrosophic set operations, we newly introduce the defuzzification, examples, and basics to clear the ...
Ali Hamza +2 more
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Boundaries & localisation with a topological twist
Journal of High Energy Physics, 2023 Abstract We study the partition functions of topologically twisted 3d $$ \mathcal{N} $$ N = 2 gauge theories on a hemisphere spacetime with boundary HS2 × S1. We show that the partition function may be localised to either the Higgs branch or the Coulomb branch where the contributions to the path ...
Crew, Samuel, Zhang, Daniel, Zhao, Boan
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Proportional Topology Optimization under Reliability-based Constraints [PDF]
Journal of Applied and Computational Mechanics, 2022 Topology optimization is a methodology widely used in the design phase that has gained space in engineering. On the other hand, uncertainty is present in material properties, loads, and boundary conditions in practically any design.
Rodrigo Amaral +2 more
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Boundary degeneracy of topological order [PDF]
Physical Review B, 2015 We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy provides richer information than the bulk degeneracy. Beyond the bulk-edge correspondence, we find the ground state degeneracy of the fully gapped edge modes depends on ...
Xiao-Gang Wen +4 more
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Topological inference of manifolds with boundary
Computational Geometry, 2020 Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconstruction -- how to assemble discrete samples into global structures, and inference -- how to extract geometric and topological information from data that are high-dimensional,
Bei Wang, Yuan Wang
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