Equivariance in higher geometry

DOI10.1016/j.aim.2010.10.016zbMath1219.22003arXiv1004.4558OpenAlexW2963349078MaRDI QIDQ626114

Christoph Schweigert, Thomas Nikolaus

Publication date: 22 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4558

zbMATH Keywords

bundle gerbes2-stacks2-vector bundlesequivariant descentMorita equivalence of Lie groupoids

Mathematics Subject Classification ID

Related Items (16)

Differential cocycles and Dixmier-Douady bundles ⋮ Groupoid equivariant prequantization ⋮ Multiplicative vector fields on bundle gerbes ⋮ Square root of gerbe holonomy and invariants of time-reversal-symmetric topological insulators ⋮ Fluxes, bundle gerbes and 2-Hilbert spaces ⋮ Lifting problems and transgression for non-abelian gerbes ⋮ On the homotopy theory for Lie \(\infty\)-groupoids, with an application to integrating \(L_\infty\)-algebras ⋮ Homotopy sheaves on generalised spaces ⋮ Unnamed Item ⋮ A classification of equivariant gerbe connections ⋮ Smooth functorial field theories from B-fields and D-branes ⋮ Smooth 2-group extensions and symmetries of bundle gerbes ⋮ Basic equivariant gerbes on non-simply connected compact simple Lie groups ⋮ Higher geometry for non-geometric T-duals ⋮ Gerbes in geometry, field theory, and quantisation ⋮ Geometry and 2-Hilbert space for nonassociative magnetic translations

Cites Work

• Bundle gerbes for orientifold sigma models
• Differentiable stacks and gerbes
• Basic gerbe over non-simply connected compact groups
• The basic gerbe over a compact simple Lie group
• Unoriented WZW models and holonomy of bundle gerbes
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Bundle Gerbes and Surface Holonomy
• Some equivariant constructions in noncommutative algebraic geometry
• n-Groupoids and Stacky Groupoids
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• Introduction to bicategories
• Bundle Gerbes
• Lie groups
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