Results 121 to 130 of about 1,756 (221)

The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds

Journal of Geometry and Physics
We consider unitary cocycle deformations of covariant $\ast$-differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed calculus are twists of their untwisted counterparts. Moreover, for cocycle deformations of a class of classical Kähler manifolds, the Levi-Civita connection on the space of one ...
Jyotishman Bhowmick, Bappa Ghosh
openaire   +2 more sources

The Chern Sectional Curvature of a Hermitian Manifold

On a Hermitian manifold, the Chern connection can induce a metric connection on the background Riemannian manifold. We call the sectional curvature of the metric connection induced by the Chern connection the Chern sectional curvature of this Hermitian ...
Li, Hongjun, Cao, Pandeng
core  

Chern-Weil Constructions on $\Psi$DO Bundles

, 2003
We construct Chern-Weil classes on infinite dimensional vector bundles with structure group contained in the algebra $\cl[\leq 0](M, E)$ of non-positive order classical pseudo-differential operators acting on a finite rank vector bundle $E$ over a closed
Rosenberg, Steven, Paycha, Sylvie
core  

Flat extensions of principal connections and the Chern–Simons 3-form

Annales Henri Lebesgue
We introduce the notion of a flat extension of a connection θ on a principal bundle. Roughly speaking, θ admits a flat ...
Cap, Andreas, Flood, Keegan, Mettler, Thomas   +2 more
openaire   +2 more sources

Topological Chern number in quantum Hall effect

, 2003
We consider the role of topological Chern number in quantum Hall effect for various strengths of disorder. The transport of electrons are coming from these states carrying nonzero Chern number.
Akopian, Varoujan
core  

A Lie based 4–dimensional higher Chern–Simons theory

, 2016
We present and study a model of 4–dimensional higher Chern-Simons theory, special Chern–Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2–algebra constructed from a ...
Roberto Zucchini, ZUCCHINI, ROBERTO
core   +1 more source

Deformation of surfaces, integrable systems and Chern-Simons theory

, 2001
A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern–Simons action via the reduction of the gauge connection in Hermitian symmetric spaces.
R. MYRZAKULOV, G. Soliani, L. Martina, Kur. Myrzakul, K.U.R. MYRZAKUL, MARTINA, Luigi, SOLIANI, Giulio   +6 more
core   +1 more source

1-loop renormalisability of integrable sigma-models from 4d Chern-Simons theory

Journal of High Energy Physics
Large families of integrable 2d σ-models have been constructed at the classical level, partly motivated by the utility of integrability on the string worldsheet.
Sylvain Lacroix, Nat Levine, Anders Wallberg   +2 more
doaj   +1 more source

The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory

, 2014
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator on the quantum spaces.
Andersen, Jørgen Ellegaard, Gammelgaard, Niels Leth   +1 more
openaire   +3 more sources

Chern-Simons potentials of higher-dimensional Pontryagin densities

We develop a novel and systematic approach to computing the (2n-1)-form Chern-Simons (CS) potential given the Pontryagin density (PD), i.e. the nth Chern character, in arbitrary even dimensions D=2n >= 2.
ÇAKMAK, ONUR AYBERK, SARIOĞLU, BAHTİYAR ÖZGÜR   +1 more
core   +1 more source