Search Results - "WOCKEL, CHRISTOPH"

A cocycle model for topological and Lie group cohomology by WAGEMANN, FRIEDRICH, WOCKEL, CHRISTOPH

“…We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on an equal footing…”
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The Lie group of bisections of a Lie groupoid by Schmeding, Alexander, Wockel, Christoph

“…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…”
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(Re)constructing Lie groupoids from their bisections and applications to prequantisation by Schmeding, Alexander, Wockel, Christoph

“…This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold M and the geometry of their (infinite-dimensional) bisection…”
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Categorified central extensions, étale Lie 2-groups and Lieʼs Third Theorem for locally exponential Lie algebras by Wockel, Christoph

“…Lieʼs Third Theorem, asserting that each finite-dimensional Lie algebra is the Lie algebra of a Lie group, fails in infinite dimensions. The modern account on…”
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FUNCTORIAL ASPECTS OF THE RECONSTRUCTION OF LIE GROUPOIDS FROM THEIR BISECTIONS by SCHMEDING, ALEXANDER, WOCKEL, CHRISTOPH

“…To a Lie groupoid over a compact base $M$ , the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one…”
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Lie group structures on symmetry groups of principal bundles by Wockel, Christoph

“…In this paper we describe how one can obtain Lie group structures on the group of (vertical) bundle automorphisms for a locally convex principal bundle P over…”
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A Smooth Model for the String Group by Nikolaus, Thomas, Sachse, Christoph, Wockel, Christoph

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Topological group cohomology with loop contractible coefficients by Fuchssteiner, Martin, Wockel, Christoph

“…We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains and of group cochains that are…”
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Making lifting obstructions explicit by Neeb, Karl‐Hermann, Wagemann, Friedrich, Wockel, Christoph

“…If P→X is a topological principal K‐bundle and K^ a central extension of K by Z, then there is a natural obstruction class δ1(P)∈Hˇ2(X,Z_) in sheaf cohomology…”
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Central extensions of groups of sections by Neeb, Karl-Hermann, Wockel, Christoph

“…If K is a Lie group and q : P → M is a principal K -bundle over the compact manifold M , then any invariant symmetric V -valued bilinear form on the Lie…”
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Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces by Wockel, Christoph

“…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…”
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Functorial aspects of the reconstruction of Lie groupoids from their bisections by Schmeding, Alexander, Wockel, Christoph

“…J. Aust. Math. Soc. 101 (2016) 253-276 To a Lie groupoid over a compact base, the associated group of bisection is an (infinite-dimensional) Lie group…”
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(Re)constructing Lie groupoids from their bisections and applications to prequantisation by Schmeding, Alexander, Wockel, Christoph

“…Differential Geom. Appl. 49 (2016), p. 227-276 This paper is about the relation of the geometry of Lie groupoids over a fixed compact manifold and the geometry…”
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Categorified central extensions, \'etale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras by Wockel, Christoph

“…Adv. Math. 228 (2011) 2218-2257 Lie's Third Theorem, asserting that each finite-dimensional Lie algebra is the Lie algebra of a Lie group, fails in infinite…”
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The Lie group of bisections of a Lie groupoid by Schmeding, Alexander, Wockel, Christoph

“…Ann Glob Anal Geom (2015) 48:87-123 In this article we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie…”
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Quasi-periodic paths and a string 2-group model from the free loop group by Murray, Michael, Roberts, David Michael, Wockel, Christoph

“…Journal of Lie Theory, 27 (2017), No. 4, 1151-1177 In this paper we address the question of the existence of a model for the string 2-group as a strict…”
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Non-integral central extensions of loop groups by Wockel, Christoph

“…Contemp. Math. 519 (2010) 203-214 It is well-known that the central extensions of the loop group of a compact, simple and 1-connected Lie group are…”
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Principal 2-bundles and their gauge 2-groups by Wockel, Christoph

“…Forum Math. 23 (3) 565-610, 2011 In this paper we introduce principal 2-bundles and show how they are classified by non-abelian Cech cohomology. Moreover, we…”
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Integrating central extensions of Lie algebras via Lie 2-groups by Zhu, Chenchang, Wockel, Christoph

“…The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of \'etale Lie…”
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Topological Group Cohomology with Loop Contractible Coefficients by Fuchssteiner, Martin, Wockel, Christoph

“…Topology Appl. 159 (2012) 2627-2634 We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains…”
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