Results 11 to 20 of about 344,178 (328)
Artificial Intelligence, 1996 AbstractHigh-level representations used in reasoning distinguish a special set of boundary locations, at which function values can change abruptly and across which adjacent regions may not be connected. Standard models of space and time, based on segmenting Rn, do not allow these possibilities because they have the wrong topological structure at ...
Margaret M. Fleck
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Topology of the future chronological boundary: universality for spacelike boundaries [PDF]
Classical and Quantum Gravity, 2000 56 pages, AMS-TeX; 1 page of figure captions (TeX); 22 figures, EPS format; to be published in Quantum Class. Grav.; principal reason for replacement is to have the figures included (also, introduction is expanded slightly, and one example is simplified)
Steven G. Harris
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On the topology of the Newton boundary at infinity [PDF]
Journal of the Mathematical Society of Japan, 2008 We are interested in a global version of Le-Ramanujam μ -constant theorem from the Newton polyhedron point of view. More precisely, we prove a stability theorem which says that the global monodromy fibration of a polynomial function with Newton non-degenerate is uniquely determined by its Newton boundary at infinity.
Tiến-Sơn Phạm
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Boundary topological superconductors [PDF]
Physical Review B, 2021 For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected ...
Bo-Xuan Li, Zhongbo Yan
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Boundary-obstructed topological phases [PDF]
Physical Review Research, 2021 30 pages, 21 ...
Eslam Khalaf +3 more
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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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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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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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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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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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