A cocycle model for topological and Lie group cohomology

DOI10.1090/S0002-9947-2014-06107-2zbMath1308.22006arXiv1110.3304OpenAlexW2136153288WikidataQ115285366 ScholiaQ115285366MaRDI QIDQ5496650

Christoph Wockel, Friedrich Wagemann

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3304

zbMATH Keywords

Lie algebra cohomologycrossed moduleabelian extensionstring groupcohomology of Lie groupscohomology of topological groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Homology and cohomology of Lie groups (57T10) Continuous cohomology of Lie groups (22E41)

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Projective families of Dirac operators on a Banach Lie groupoid ⋮ Integrating central extensions of Lie algebras via Lie 2-groups ⋮ Third group cohomology and gerbes over Lie groups ⋮ The cohomology of semi-simple Lie groups, viewed from infinity ⋮ Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy ⋮ Anomalies and bosonization ⋮ Equivariant cohomology for differentiable stacks ⋮ Platonic and alternatinc 2-groups ⋮ Anomalous symmetries end at the boundary ⋮ Categorical tori ⋮ Quasi-periodic paths and a string 2-group model from the free loop group ⋮ ON 2-HOLONOMY

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