Sheaf theory for stacks in manifolds and twisted cohomology for \(S^1\)-gerbes

DOI10.2140/agt.2007.7.1007zbMath1149.14002arXivmath/0603698OpenAlexW3104267810MaRDI QIDQ2464779

Ulrich Bunke, Thomas Schick, Markus Spitzweck

Publication date: 17 December 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603698

zbMATH Keywords

sheaf theorystacks twisted cohomology

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Generalizations (algebraic spaces, stacks) (14A20) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items

Non-abelian differentiable gerbes

Cites Work

• Differentiable stacks and gerbes
• On a generalised Connes-Hochschild-Kostant-Rosenberg theorem
• Introduction to étale cohomology. Translated by Manfred Kolster
• Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases
• Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
• \(T\)-duality: topology change from \(H\)-flux
• Inertia and delocalized twisted cohomology
• The geometry of iterated loop spaces
• On the de Rham cohomology of differential and algebraic stacks
• Twisted K-theory of differentiable stacks
• Periodic twisted cohomology and T-duality
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Sheaves on Artin stacks
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Bundle Gerbes
• Twisted equivariantK-theory with complex coefficients
• Loop spaces, characteristic classes and geometric quantization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item