Introduction to the language of stacks and gerbes

Abstract

This is an introduction to gerbes for topologists, with emphasis on non-abelian cohomology.

30 pages

Cited by in corpus (31)

• An Invitation to Higher Gauge Theory
• Lectures on Integrability of Lie Brackets
• Higher Gauge Theory: 2-Connections on 2-Bundles
• Parallel Transport and Functors
• Notes on Grothendieck topologies, fibered categories and descent theory
• Non Abelian Differentiable Gerbes
• On unitary 2-representations of finite groups and topological quantum field theory
• Higher Symplectic Geometry
• The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces
• Differentiable Stacks and Gerbes
• Smooth 2-Group Extensions and Symmetries of Bundle Gerbes
• From Loop Space Mechanics to Nonabelian Strings
• Vector Fields and Flows on Differentiable Stacks
• On the existence of universal families of marked irreducible holomorphic symplectic manifolds
• Multiplicity free quasi-Hamiltonian manifolds
• Infinitesimal Symmetries of Dixmier-Douady Gerbes
• Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3
• Third Group Cohomology and Gerbes over Lie Groups
• Bicategorical fibration structures and stacks
• Twisted K-theory of differentiable stacks
• Central Extensions of Gerbes
• Scheme representation for first-order logic
• The Étale Fundamental Groupoid as a Terminal Costack
• Algebroid prestacks and deformations of ringed spaces
• Atiyah sequence and Gauge transformations of a principal $2$-bundle over a Lie groupoid
• Geometric and topological aspects of Type IIB D-branes
• Manifolds, Structures Categorically
• Twisted Moduli Spaces and Duistermaat-Heckman Measures
• On the group of separable quadratic algebras and stacks
• The Global Topology of Pontrjagin Duality
• Cohomology with coefficients in stacks of Picard categories