82 citations · 526 across the 39 of their papers we have counts for
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Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
Konrad Waldorf
We prove that isomorphism classes of principal bundles over a diffeological space are in bijection to certain maps on its free loop space, both in a setup with and without connecti…
Polyakov-Wiegmann Formula and Multiplicative Gerbes
Krzysztof Gawedzki, Konrad Waldorf
An unambiguous definition of Feynman amplitudes in the Wess-Zumino-Witten sigma model and the Chern-Simon gauge theory with a general Lie group is determined by a certain geometric…
String Connections and Chern-Simons Theory
Konrad Waldorf
We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our form…
Bundle Gerbes and Surface Holonomy
Jürgen Fuchs, Thomas Nikolaus, Christoph Schweigert +1
Hermitian bundle gerbes with connection are geometric objects for which a notion of surface holonomy can be defined for closed oriented surfaces. We systematically introduce bundle…