Results 61 to 70 of about 226,986 (311)
A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]
, 2015 A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Sarita Rosenstock, J. Weatherall
semanticscholar +1 more source
Parallel transport in principal 2-bundles [PDF]
Higher Structures, 2017 A nice differential-geometric framework for (non-abelian) higher gauge theory is provided by principal 2-bundles, i.e. categorified principal bundles.
K. Waldorf
semanticscholar +1 more source
The anterior nucleus of the thalamus plays a role in the epileptic network
Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 2010-2024, December 2022., 2022 Abstract Objectives We investigated both the metabolic differences and interictal/ictal discharges of the anterior nucleus of the thalamus (ANT) in patients with epilepsy to clarify the relationship between the ANT and the epileptic network. Methods Nineteen patients with drug‐resistant epilepsy who underwent stereoelectroencephalography were studied ...
Hao Yan +9 more
wiley +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
On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle [PDF]
, 2016 A principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a simplex we associate a necklace (
N. Mnev, G. Sharygin
semanticscholar +1 more source
FEBS Letters, EarlyView.In modular polyketide synthases, the dehydratase (DH) domain catalyzes the dehydration reaction of the β‐hydroxyacyl unit attached to the cognate acyl carrier protein (ACP) domain. However, it is unclear how DH interacts with ACP during the reaction. In this study, we identified DH–ACP interface residues, providing the first detailed insights into DH ...
Kaede Kotagiri +8 more
wiley +1 more source
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
Characteristics of the Kelch domain containing (KLHDC) subfamily and relationships with diseases
FEBS Letters, EarlyView.The Kelch protein superfamily includes 63 members, with the KLHDC subfamily having 10 proteins. While their functions are not fully understood, recent advances in KLHDC2's structure and role in protein degradation have highlighted its potential for drug development, especially in PROTAC therapies.
Courtney Pilcher +6 more
wiley +1 more source
FEBS Letters, EarlyView.We present the first solution structure of the Ca2+‐depleted LETM1 F‐EF‐hand through a D676A/N678A Ca2+ binding‐deficient mutant, revealing a closed hydrophobic cleft caused by a unique F1‐helix pivot. The apo LETM1 F‐EF‐hand exhibits regiospecific hot and cold unfolding, sensitivity to physiological pH changes and potential for promiscuous heterotypic
Qi‐Tong Lin +2 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