80 citations · 397 across the 30 of their papers we have counts for
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math.DG2013
T-Duality via Gerby Geometry and Reductions
Ulrich Bunke, Thomas Nikolaus
We consider topological T-duality of torus bundles equipped with S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its band to the subsheaf of S^{1}-value…
math.DG2011★ 17 cited
Four Equivalent Versions of Non-Abelian Gerbes
Thomas Nikolaus, Konrad Waldorf
We recall and partially improve four versions of smooth, non-abelian gerbes: Cech cocycles, classifying maps, bundle gerbes, and principal 2-bundles. We prove that all these four v…
math.DG2009★ 23 cited
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…