Results 31 to 40 of about 105,811 (271)

Crossed Module Bundle Gerbes; Classification, String Group and Differential Geometry

, 2005
We discuss nonabelian bundle gerbes and their differential geometry using simplicial methods. Associated to any crossed module there is a simplicial group NC, the nerve of the 1-category defined by the crossed module and its geometric realization |NC ...
Aschieri P., Baez J. C., BRANISLAV JURČO, Breen L., Duskin J. W., Giraud J., Henriques A., Smirnov V. A.   +7 more
core   +1 more source

Non-abelian higher gauge theory and categorical bundle

, 2016
A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
core   +4 more sources

Geometry of frame bundles

Lietuvos Matematikos Rinkinys
In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
doaj   +3 more sources

Criterion for connections on principal bundles over a pointed Riemann surface

Complex Manifolds, 2017
We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
doaj   +1 more source

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

Theory of Connections on Graded Principal Bundles [PDF]

Reviews in Mathematical Physics, 1998
The geometry of graded principal bundles is discussed in the framework of graded manifold theory of Kostant–Berezin–Leites. We first review the basic elements of this theory establishing at the same time supplementary properties of graded Lie groups and their actions.
openaire   +3 more sources

Piecewise Principal Coactions of Co-Commutative Hopf Algebras [PDF]

, 2014
Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map.
Zieliński, Bartosz
core   +2 more sources

Connections on a Parabolic Principal Bundle, II [PDF]

Canadian Mathematical Bulletin, 2009
AbstractIn Connections on a parabolic principal bundle over a curve, I we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in the above article that the Atiyah exact sequence does not generalize to the parabolic principal bundles.
openaire   +2 more sources

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

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source