82 citations · 526 across the 39 of their papers we have counts for
49 papers
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…
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…
Internal geometry and functors between sites
Konrad Waldorf
Locality is implemented in an arbitrary category using Grothendieck topologies. We explore how different Grothendieck topologies on one category can be related, and, more general,…
String structures and loop spaces
Konrad Waldorf
We provide a concise and accessible introduction to (geometric) string structures, highlighting their connection to loop spaces and outlining relationships with neighboring topics.
A representation of the string 2-group
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We construct a representation of the string 2-group on a 2-vector space, aiming to establish it as the categorification of the spinor representation. Our model for 2-vector spaces…