Results 61 to 70 of about 135,026 (217)
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 +24 more
core +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
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
Connections on the path bundle of a principal fiber bundle
Differential Geometry and its Applications, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
, 2012 We construct a cycle in higher Hochschild homology associated to the 2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the same way the ordinary holonomy of a principal G-bundle gives rise to a cycle in ordinary Hochschild ...
Baez +11 more
core +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
Functoriality of Principal Bundles and Connections
, 2019 Perhaps the most important contribution of gauge theory to general mathematics is to point out the importance of association functors. Emphasizing category theory we characterize association functors by two of their natural properties and use this characterization to establish an equivalence between the category of principal bundles and a suitably ...
Moncada, Gustavo Amilcar Saldaña +1 more
openaire +2 more sources
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. +7 more
core +1 more source
Logarithmic connections on principal bundles over a Riemann surface [PDF]
International Journal of Mathematics, 2017 Let [Formula: see text] be a holomorphic principal [Formula: see text]-bundle on a compact connected Riemann surface [Formula: see text], where [Formula: see text] is a connected reductive complex affine algebraic group. Fix a finite subset [Formula: see text], and for each [Formula: see text] fix [Formula: see text].
Indranil Biswas +3 more
openaire +4 more sources
About differential equations of the curvature tensors of a fundamental group and affine connections
Дифференциальная геометрия многообразий фигур, 2019 The principal bundle is considered, the base of which is an n-dimensional smooth manifold, and the typical fiber is an r-fold Lie group. Structure equations for the forms of the fundamental group and affine connections are given, each of which ...
N. Ryazanov
doaj +1 more source