Parallel transport and functors
From MaRDI portal
Publication:847594
zbMath1189.53026arXiv0705.0452MaRDI QIDQ847594
Publication date: 18 February 2010
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.0452
descent datafunctors and local trivializationgroupoid bundle with connectionhigher dimensional parallel transporttranspaort functor
Connections (general theory) (53C05) Fiber bundles in algebraic topology (55R10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Differential geometric aspects of gerbes and differential characters (53C08)
Related Items (37)
From gauge to higher gauge models of topological phases ⋮ On the global 2-holonomy for a 2-connection on a 2-bundle ⋮ Parallel transport on principal bundles over stacks ⋮ Thin homotopy and the holonomy approach to gauge theories ⋮ Local theory for 2-functors on path 2-groupoids ⋮ Path space connections and categorical geometry ⋮ Excitations in strict 2-group higher gauge models of topological phases ⋮ Large gauge transformations and the strong CP problem ⋮ Twisted-product categorical bundles ⋮ Smooth one-dimensional topological field theories are vector bundles with connection ⋮ Surface holonomy for non-Abelian 2-bundles via double groupoids ⋮ An invitation to higher gauge theory ⋮ Another look at connections ⋮ On two notions of a gerbe over a stack ⋮ Twisted differential string and fivebrane structures ⋮ Two-dimensional algebra in lattice gauge theory ⋮ String geometry vs. spin geometry on loop spaces ⋮ A new formulation of higher parallel transport in higher gauge theory ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ A framework for geometric field theories and their classification in dimension one ⋮ Connections on decorated path space bundles ⋮ The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module ⋮ On 3-gauge transformations, 3-curvatures, and Gray-categories ⋮ \(1|1\) parallel transport and connections ⋮ The derivative of global surface-holonomy for a non-abelian gerbe ⋮ Smooth functorial field theories from B-fields and D-branes ⋮ The holonomy groupoids of singularly foliated bundles ⋮ Transgressive loop group extensions ⋮ Dynamical generalization of Yetter's model based on a crossed module of discrete groups ⋮ Smooth 2-group extensions and symmetries of bundle gerbes ⋮ Gerbes in geometry, field theory, and quantisation ⋮ On higher holonomy invariants in higher gauge theory I ⋮ The higher Riemann-Hilbert correspondence and principal 2-bundles ⋮ A categorical equivalence between generalized holonomy maps on a connected manifold and principal connections on bundles over that manifold ⋮ Convenient categories of smooth spaces ⋮ String connections and Chern-Simons theory ⋮ Adjusted parallel transport for higher gauge theories
This page was built for publication: Parallel transport and functors