4 papers
Real Twistings are 2-Line Bundles
Tim Lüders, Lynn Otto, Konrad Waldorf
We construct and study a bicategory of super 2-line bundles over graded Lie groupoids, providing a unified framework for geometric models of twistings of (real) K-theory. The core…
Categorical symmetries of T-duality
Konrad Waldorf
Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group o…
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…