Results 11 to 20 of about 1,756 (221)
Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach [PDF]
Journal of Dynamical Systems and Geometric Theories, 2020 LaTeX file, 14 ...
Nabil L Youssef, S G Elgendi
exaly +3 more sources
Connection between the winding number and the Chern number [PDF]
Chinese Journal of Physics, 2021 Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Han-Ting Chen, Hsien-Chung Kao
exaly +4 more sources
Curvature Properties of the Chern Connection of Twistor Spaces
Rocky Mountain Journal of Mathematics, 2009 14 pages, to appear in Rocky Mountain J ...
Johann Davidov, Gueo Grantcharov
exaly +5 more sources
Generalized real-space Chern number formula and entanglement hamiltonian
SciPost Physics, 2023 We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement ...
Ruihua Fan, Pengfei Zhang, Yingfei Gu
doaj +2 more sources
Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]
Nature CommunicationsBerry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern number.
Xuefan Yin +5 more
doaj +2 more sources
Chern characters via connections up to homotopy [PDF]
, 2000 6 ...
Crainic, M.
openaire +4 more sources
Cubo, 2022 We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
doaj +1 more source
Real Chern-Simons wave function [PDF]
, 2021 We examine the status of the Chern-Simons (or Kodama) state from the point of view of a formulation of gravity that uses only real connection and metric variables and a real action.
Magueijo, João
core +1 more source
General solutions in Chern-Simons gravity and T T ¯ $$ T\overline{T} $$ -deformations
Journal of High Energy Physics, 2021 We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection.
Eva Llabrés
doaj +1 more source
Connections on Lie groupoids and Chern–Weil theory
Reviews in Mathematical Physics, 2023 Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas +3 more
openaire +4 more sources