Results 1 to 10 of about 947 (177)

Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach [PDF]

Journal of Dynamical Systems and Geometric Theories, 2020
LaTeX file, 14 ...
Nabil 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
Hsien-Chung Kao, Han-Ting Chen
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

Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

Commun Math Phys
Abstract Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the location of the singularities and their Stokes constants) in the case of a ...
Garoufalidis S, Gu J, Mariño M, Wheeler C.   +3 more
europepmc   +5 more sources

Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]

Nature Communications
Berry 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, Ye Chen, Xiaoyu Zhang, Zixuan Zhang, Susumu Noda, Chao Peng   +5 more
doaj   +2 more sources

On an {\it a priori} $L^\infty$ estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds

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

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, Saikat Chatterjee, Praphulla Koushik, Frank Neumann   +3 more
openaire   +4 more sources

An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds

Complex Manifolds, 2022
We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
doaj   +1 more source

Localization and duality for ABJM latitude Wilson loops

Journal of High Energy Physics, 2021
We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N $$ \mathcal{N} $$ ≥ 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and ...
Luca Griguolo, Luigi Guerrini, Itamar Yaakov   +2 more
doaj   +1 more source