Results 11 to 20 of about 295,574 (222)

Topological phases and bulk-edge correspondence of magnetized cold plasmas

Nature Communications, 2021
Magnetized plasma can be regarded as topological matter. Here the authors identify a necessary and sufficient condition for the existence of topological edge mode and find that cold magnetized plasma has ten topological phases in the plasma frequency ...
Yichen Fu, Hong Qin
doaj   +1 more source

Unlinking and unknottedness of monotone Lagrangian submanifolds [PDF]

, 2012
Under certain topological assumptions, we show that two monotone Lagrangian submanifolds embedded in the standard symplectic vector space with the same monotonicity constant cannot link one another and that, individually, their smooth knot type is ...
Georgios Dimitroglou, Jonathan David Evans, Rizell   +2 more
core   +1 more source

α-Topological Vector Spaces

Science Journal of University of Zakho, 2017
The main objective of this paper is to present the study of α-topological vector spaces. α-topological vector spaces are defined by using α-open sets and α-irresolute mappings.
Hariwan Z. Ibrahim
doaj   +1 more source

A Note on the Topology of Space-time in Special Relativity [PDF]

, 2003
We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A, Bohm A, Castagnino M, Gadella M, Gell-Mann M, S Wickramasekara   +5 more
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The partition bundle of type A_{N-1} (2, 0) theory [PDF]

, 2010
Six-dimensional (2, 0) theory can be defined on a large class of six-manifolds endowed with some additional topological and geometric data (i.e. an orientation, a spin structure, a conformal structure, and an R-symmetry bundle with connection).
AS Schwarz, D Freed, D Mumford, E Witten, E Witten, E Witten, G Bonelli, GW Moore, JA Harvey, JM Maldacena, KA Intriligator, L Dolan, M Henningson, M Henningson, M Henningson, M Henningson, MJ Hopkins, Måns Henningson, R Dijkgraaf   +18 more
core   +2 more sources

A theorem on topologically massive gravity [PDF]

, 1996
We show that for three dimensional space-times admitting a hypersurface orthogonal Killing vector field Deser, Jackiw and Templeton's vacuum field equations of topologically massive gravity allow only the trivial flat space-time solution.
A N Aliev, Clément G, Clément G, Deser S, Nutku Y, Nutku Y, Percacci R, Vuorio I, Wald R M, Y Nutku   +9 more
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Singular dimensions of the N=2 superconformal algebras. I [PDF]

, 1998
Verma modules of superconfomal algebras can have singular vector spaces with dimensions greater than 1. Following a method developed for the Virasoro algebra by Kent, we introduce the concept of adapted orderings on superconformal algebras.
Doerrzapf, Matthias, Gato-Rivera, Beatriz   +1 more
core   +3 more sources

Role of Shift Vector in High-Harmonic Generation from Noncentrosymmetric Topological Insulators under Strong Laser Fields

Physical Review X, 2022
As a promising avenue to obtain a new extreme ultraviolet light source and detect electronic properties, high-harmonic generation (HHG) has been actively developed in both theory and experiment.
Chen Qian, Chao Yu, Shicheng Jiang, Tan Zhang, Jiacheng Gao, Shang Shi, Hanqi Pi, Hongming Weng, Ruifeng Lu   +8 more
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*—Inductive limits and partition of unity

International Journal of Mathematics and Mathematical Sciences, 1989
In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it ...
V. Murali
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Free Subspaces of Free Locally Convex Spaces

Journal of Function Spaces, 2018
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj   +1 more source