Results 81 to 90 of about 565,556 (249)
Probing chiral-symmetric higher-order topological insulators with multipole winding number
Communications PhysicsThe interplay between crystalline symmetry and band topology gives rise to unprecedented lower-dimensional boundary states in higher-order topological insulators (HOTIs).
Ling Lin, Chaohong Lee
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Free boundaries subject to topological constraints
Discrete & Continuous Dynamical Systems - A, 2019 We discuss the extent to which solutions to one-phase free boundary problems can be characterized according to their topological complexity. Our questions are motivated by fundamental work of Luis Caffarelli on free boundaries and by striking results of T. Colding and W. Minicozzi concerning finitely connected, embedded, minimal surfaces. We review our
Jerison, David, Kamburov, Nikola
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Invertible Dirac operators and handle attachments on manifolds with boundary
, 2014 For spin manifolds with boundary we consider Riemannian metrics which are product near the boundary and are such that the corresponding Dirac operator is invertible when half-infinite cylinders are attached at the boundary.
Adams R. A. +10 more
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Potential Theory on Gromov Hyperbolic Spaces
Analysis and Geometry in Metric Spaces, 2022 Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov ...
Kemper Matthias, Lohkamp Joachim
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Characterizing the topology of pseudo-boundaries of Euclidean spaces [PDF]
arXiv, 1999 We give a topological characterization of the n-dimensional pseudo-boundary of the (2n+1)-dimensional Euclidean space.
arxiv
Hyperbolic projections and topological invariance of sublinearly Morse boundaries [PDF]
arXiv, 2022 We show that the sublinearly Morse boundary of a CAT(0) cubical group with a factor system is well-defined up to homeomorphism with respect to the visual topology. The key tool used in the proof is a new topology on sublinearly Morse boundaries that is induced by group actions on hyperbolic spaces that are sufficiently nice, for example, largest ...
arxiv
Vacuum polarization at the boundary of a topological insulator [PDF]
Physical Review D, 2015 In this paper we study the polarized vacuum energy on the conducting surface of a topological insulator characterized by both $Z_2$ topological index and time reversal symmetry. This boundary is subject to the action of a static and spatially homogeneous magnetic field perpendicular to it as well as of an electric field that is uniform near the ...
Celio Rodrigues Muniz +3 more
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, 2006 Bing doubling is an operation which produces a 2-component boundary link B(K) from a knot K. If K is slice, then B(K) is easily seen to be boundary slice. In this paper, we investigate whether the converse holds.
Bing +8 more
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BOUNDARY AND EXTERIOR OF A MULTISET TOPOLOGY
Journal of New Theory, 2016 − The concepts of exterior and boundary in multiset topological space are introduced. Wefurther established few relationships between the concepts of boundary, closure, exterior and interiorof an M - set.
Debaroti Das, Juthika Mahanta
doaj
An Inverse Problem for Quantum Trees with Delta-Prime Vertex Conditions
Vibration, 2020 In this paper, we consider a non-standard dynamical inverse problem for the wave equation on a metric tree graph. We assume that the so-called delta-prime matching conditions are satisfied at the internal vertices of the graph.
Sergei Avdonin, Julian Edward
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