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math.DG2025
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…
math.AT2025
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…