Results 61 to 70 of about 804,935 (306)

Stratifiable Maps and Topological Invariants [PDF]

open access: yesJournal of the American Mathematical Society, 1991
Let \(f: X\to Y\) be a stratified map of compact even relative dimension of Whitney stratified spaces with only even codimension strata. Let \(\mathcal V\) be the set of components of (open) strata of \(Y\). For each \(V\in\mathcal V\) let \(\overline V\) be the closure of \(V\). Let \(L_ i(X)\) be the characteristic \(L\)-classes. Assuming that each \(
Cappell, Sylvain E., Shaneson, Julius L.
openaire   +1 more source

Topological odd-parity superconductors

open access: yes, 2009
In this letter, we investigate topological phases of full-gapped odd-parity superconductors, which are distinguished by the bulk topological invariants and the topologically protected gapless boundary states.
Sato, Masatoshi
core   +1 more source

Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems [PDF]

open access: yes, 2014
Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists towards ...
Asboth, J. K.   +2 more
core   +3 more sources

Topological strings, strips and quivers

open access: yesJournal of High Energy Physics, 2019
We find a direct relation between quiver representation theory and open topological string theory on a class of toric Calabi-Yau manifolds without compact four-cycles, also referred to as strip geometries.
Miłosz Panfil, Piotr Sułkowski
doaj   +1 more source

Topological invariance in whiteness optimisation

open access: yesCommunications Physics, 2023
AbstractMaximizing the scattering of visible light within disordered nano-structured materials is essential for commercial applications such as brighteners, while also testing our fundamental understanding of light-matter interactions. The progress in the research field has been hindered by the lack of understanding how different structural features ...
Haataja, JS   +4 more
openaire   +5 more sources

Quadratic Lagrangians and Topology in Gauge Theory Gravity [PDF]

open access: yes, 1999
We consider topological contributions to the action integral in a gauge theory formulation of gravity. Two topological invariants are found and are shown to arise from the scalar and pseudoscalar parts of a single integral.
A. N. Lasenby   +12 more
core   +2 more sources

Universal Fluctuations of Floquet Topological Invariants at Low Frequencies. [PDF]

open access: yesPhysical Review Letters, 2017
We study the low-frequency dynamics of periodically driven one-dimensional systems hosting Floquet topological phases. We show, both analytically and numerically, in the low frequency limit Ω→0, the topological invariants of a chirally symmetric driven ...
M. Rodriguez-Vega   +2 more
semanticscholar   +1 more source

Notes on topological insulators [PDF]

open access: yes, 2016
This paper is a survey of the $\mathbb{Z}_2$-valued invariant of topological insulators used in condensed matter physics. The $\mathbb{Z}$-valued topological invariant, which was originally called the TKNN invariant in physics, has now been fully ...
Kaufmann, Ralph M.   +2 more
core   +3 more sources

Tensor Berry connections and their topological invariants [PDF]

open access: yesPhysical review B, 2018
The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective “electromagnetic” vector potential defined in
G. Palumbo, N. Goldman
semanticscholar   +1 more source

Superconductivity and Abelian Chiral Anomalies [PDF]

open access: yes, 2003
Motivated by the geometric character of spin Hall conductance, the topological invariants of generic superconductivity are discussed based on the Bogoliuvov-de Gennes equation on lattices.
B. I. Halperin   +10 more
core   +2 more sources

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