Results 51 to 60 of about 292,639 (308)

The noncommutative geometry of Yang-Mills fields

, 2010
We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes.
Atiyah, Baaj, Blackadar, Bleecker, Chamseddine, Chamseddine, Chamseddine, Connes, Connes, Connes, Dixmier, Estrada, Gilkey, Gracia-Bondia, Jord Boeijink, Kasparov, Kasparov, Kucerovsky, Mesland, Nestruev, Raeburn, Rieffel, Swan, Várilly, Walter D. van Suijlekom   +24 more
core   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

FEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Gauge-potential approach to the kinematics of a moving car

, 1997
A kinematics of the motion of a car is reformulated in terms of the theory of gauge potentials (connection on principal bundle).
A. Guichardet, A. Shapere, A. Shapere, A. Trautman, M. Fecko, M. Fecko, M. Fecko   +6 more
core   +1 more source

The Atiyah bundle and connections on a principal bundle

Proceedings - Mathematical Sciences, 2010
Let M be a C∞ manifold and G a Lie a group. Let EG be a C∞ principal G-bundle over M. There is a fiber bundle C(EG) over M whose smooth sections correspond to the connections on EG. The pull back of EG to C(EG) has a tautological connection. We investigate the curvature of this tautological connection.
openaire   +2 more sources

The power of microRNA regulation—insights into immunity and metabolism

FEBS Letters, EarlyView.
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto, Nicola Manfrini, Stefano Biffo   +2 more
wiley   +1 more source

Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization

Mathematics, 2019
The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the
Olga Belova
doaj   +1 more source

Parallel Transport on Principal Bundles over Stacks [PDF]

, 2015
In this paper we introduce a notion of parallel transport for principal bundles with connections over differentiable stacks. We show that principal bundles with connections over stacks can be recovered from their parallel transport thereby extending the results of Barrett, Caetano and Picken, and Schreiber and Waldof from manifolds to stacks.
arxiv   +1 more source

Martingales on Principal Fiber Bundles [PDF]

arXiv, 2022
Let $P(M,G)$ be a principal fiber bundle, let $\omega$ be a connection form on $P(M,G)$, and consider a projectable connection $\nabla^{P}$ on $P(M,G)$. The aim of this work is to determine the $\nabla^{P}$-martingales in $P(M,G)$. Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
arxiv  

Identification of novel small molecule inhibitors of ETS transcription factors

FEBS Letters, EarlyView.
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla, Zary Forghany, Jin Ma, Johan G. Hollander, Ruta Nachane, Karoly Szuhai, Pancras C. W. Hogendoorn, Peter ten Dijke, Dipen Shah, David A. Baker   +9 more
wiley   +1 more source

Connections on the path bundle of a principal fiber bundle

Differential Geometry and its Applications, 1994
AbstractLet (P, M, π, G) be a principal fiber bundle. In the first section of this paper, we consider the Fréchet manifold PP of smooth paths in P along with important Fréchet submanifolds such as the space PP of paths in P which emanate from some fixed point u0 ∈ P and the space π∗u0(Lx0M) of paths at u0 in P which project to the set Lx0M of loops of ...
openaire   +2 more sources