Results 111 to 120 of about 1,756 (221)

Chern-Simons classes of flat connections on supermanifolds

, 2007
In this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition of Chern-Simons classes of a (not necessarily flat) morphism between flat vector bundles on a ...
Iyer, JN, Iyer, Un
openaire   +2 more sources

Arithmetic Levi-Civita connection [PDF]

, 2019
This paper is part of a series of papers where an arithmetic analogue of classical differential geometry is being developed. In this arithmetic differential geometry functions are replaced by integer numbers, derivations are replaced by Fermat quotient ...
Buium, A.
core   +1 more source

Issue Information

General Psychiatry, Volume 39, Issue 3, June 2026.
No abstract is available for this article.
wiley   +1 more source

The Chern-Finsler connection and Finsler-Kähler manifolds

Advanced Studies in Pure Mathematics, 2019
In this paper, we shall discuss the theory of connection in complex Finsler geometry, i.e., the Chern-Finsler connection $\nabla$ and its applications. In particular, we shall investigate (1) the ampleness of holomorphic vector bundles over a compact complex manifold which is based on the study due to [Ko1], (2) some special class of complex Finsler ...
openaire   +2 more sources

Chern currents of singular connections associated with a section of a compactified bundle [PDF]

Indiana University Mathematics Journal, 1995
A compactification of the Chern-Weil theory for bundle maps, developed by \textit{F. R. Harvey} and \textit{H. B. Lawson jun.} [Astérisque 213, 268 (1993; Zbl 0804.53037)], is described. For each section \(\nu\) of the compactification \(\mathbb{P} (\underline \mathbb{C} \oplus F) \to X\) of a rank \(n\) complex vector bundle \(F \to X\) with ...
openaire   +2 more sources

The fsusy hamiltonian in connection with the Chern-Simons Gauge theory

, 2000
On the two-dimensional lattice, the construction of anyonic operators and its algebras is discussed. Thus, the fractional supersymmetry (FSUSY) and the associated FSUSY Hamiltonian basing on the quonic anyons are recalled. Its particular case for bosonic
International Centre for Theoretical Physics, Trieste (Italy), Hassouni, Y., Douari, J.   +2 more
core  

Vector Pairing and Fluctuation-Induced Chern-Simons Term in Anyon Superconductivity

, 2009
Assuming some sorts of vector pairing in high-temperature superconductivity, we show how the topological Chern-Simons term can be generated dynamically due to quantum fluctuations in a BCS-type four-fermion model.
何俊麟; Ho, Choon-lin; Hu, Bambi; Yu, H. T.
core   +1 more source

Locality of topological dynamics in Chern insulators

, 2023
A system having macroscopic patches in different topological phases have no well-defined global topological invariant. To treat such a case, the quantities labeling different areas of the sample according to their topological state are used, dubbed local
Rubtsov, A. N., Markov, A. A., Golovanova, D. B., Yavorsky, A. R.   +3 more
core  

Relative Chern character number and super-connection

Topology and its Applications, 2018
manuscript ...
openaire   +3 more sources

Narain CFTs from quantum codes and their $${\mathbb{Z}}_{2}$$ gauging

Journal of High Energy Physics
We investigate the gauging of a $${\mathbb{Z}}_{2}$$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $${\mathbb{Z}}_{2}$$ gauging ...
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda   +2 more
doaj   +1 more source