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

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12 papers · 1 filter

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.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.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…

math.DG2010★ 8 cited

Universal Central Extensions of Gauge Algebras and Groups

Bas Janssens, Christoph Wockel

We show that the canonical central extension of the group of sections of a Lie group bundle over a compact manifold, constructed in [NW09], is universal. In doing so, we prove univ…

math.DG2009

The diffeomorphism supergroup of a finite-dimensional supermanifold

Christoph Sachse, Christoph Wockel

Using the categorical description of supergeometry we give an explicit construction of the diffeomorphism supergroup of a compact finite-dimensional supermanifold. The construction…