82 citations · 526 across the 39 of their papers we have counts for
23 papers · 1 filter
Adjusted connections on non-abelian bundle gerbes
Konrad Waldorf
Higher gauge theory for non-abelian structure 2-groups faces significant challenges when extending beyond the fake-flat sector, which suffers from limited applicability in physical…
Classification of adjustments on central crossed modules
Matthias Ludewig, Konrad Waldorf
Adjustments are additional structures on crossed modules of Lie groups, serving as a tool in higher gauge theory to circumvent the fake flatness of connections on 2-bundles. In thi…
Lie 2-groups from loop group extensions
Matthias Ludewig, Konrad Waldorf
We give a very simple construction of the string 2-group as a strict Fréchet Lie 2-group. The corresponding crossed module is defined using the conjugation action of the loop group…
Geometric T-duality: Buscher rules in general topology
Konrad Waldorf
The classical Buscher rules describe T-duality for metrics and B-fields in a topologically trivial setting. On the other hand, topological T-duality addresses aspects of non-trivia…
The insidious bicategory of algebra bundles
Peter Kristel, Matthias Ludewig, Konrad Waldorf
In this paper we construct a bicategory of (super) algebra bundles over a smooth manifold, where the 1-morphisms are bundles of bimodules. The main point is that naive definitions…
2-vector bundles
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We develop a ready-to-use comprehensive theory for (super) 2-vector bundles over smooth manifolds. It is based on the bicategory of (super) algebras, bimodules, and intertwiners as…