activity
20052017
most citedThe Lie group of bisections of a Lie groupoid

33 citations · 194 across the 19 of their papers we have counts for

collaborators

22 papers

math.DG2017

Quasi-periodic paths and a string 2-group model from the free loop group

Michael Murray, David Michael Roberts, Christoph Wockel

In this paper we address the question of the existence of a model for the string 2-group as a strict Lie-2-group using the free loop group (or more generally for compa…

math.CT2015★ 4 cited

Functorial aspects of the reconstruction of Lie groupoids from their bisections

Alexander Schmeding, Christoph Wockel

To a Lie groupoid over a compact base, the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one can reconstruct the Lie g…

math.DG2015★ 14 cited

(Re)constructing Lie groupoids from their bisections and applications to prequantisation

Alexander Schmeding, Christoph Wockel

This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold and the geometry of their (infinite-dimensional) bisection Lie groups. In the first…

math.DG2014★ 33 cited

The Lie group of bisections of a Lie groupoid

Alexander Schmeding, Christoph Wockel

In this article we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connecti…

math.AT2014

Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces

Christoph Wockel

In this paper we analyse the topological group cohomology of finite-dimensional Lie groups. We introduce a technique for computing it (as abelian groups) for torus coefficients by…

math.DG2012★ 4 cited

Integrating central extensions of Lie algebras via Lie 2-groups

Chenchang Zhu, Christoph Wockel

The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups. In finite dimensi…