In this book we prove (Thm. 4. 3.24) unified classification results for stable equivariant Γ-
principal bundles when the underlying homotopy type SΓ of the topological structure group Γ …

We recall and partially improve four versions of smooth, nonabelian gerbes: Čech cocycles,
classifying maps, bundle gerbes, and principal 2-bundles. We prove that all four versions …

We study bundle gerbes on manifolds M that carry an action of a connected Lie group G. We
show that these data give rise to a smooth 2-group extension of G by the smooth 2-group of …

In this book we prove unified classification results for equivariant principal bundles when the
topological structure group is truncated. The conceptually transparent proof invokes a …

We investigate topological T-duality in the framework of non-abelian gerbes and higher
gauge groups. We show that this framework admits the gluing of locally defined T-duals, in …

We suggest a geometric approach to quantisation of the twisted Poisson structure
underlying the dynamics of charged particles in fields of generic smooth distributions of …

We develop a ready-to-use comprehensive theory for (super) 2-vector bundles over smooth
manifolds. It is based on the bicategory of (super) algebras, bimodules, and intertwiners as a …

This is a mostly self-contained survey article about bundle gerbes and some of their recent
applications in geometry, field theory, and quantisation. We cover the definition of bundle …

We give a construction of the spinor bundle of the loop space of a string manifold together
with its fusion product, inspired by ideas from Stolz and Teichner. The spinor bundle is a …

We construct a representation of the string 2-group on a 2-vector space, namely on the
hyperfinite type III_1 von Neumann algebra. We prove that associating this representation to …