Gerbes in geometry, field theory, and quantisation
From MaRDI portal
Publication:2049042
DOI10.1515/coma-2020-0112zbMath1472.53034arXiv2102.10406OpenAlexW3167841142MaRDI QIDQ2049042
Publication date: 24 August 2021
Published in: Complex Manifolds (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10406
higher geometryWZW modelbundle gerbes2-plectic geometryderived geometric quantisationfunctorial field theory
Topological quantum field theories (aspects of differential topology) (57R56) Geometric quantization (53D50) Differential geometric aspects of gerbes and differential characters (53C08)
Related Items
Principal \(\infty\)-bundles and smooth string group models, Towards an extended/higher correspondence. Generalised geometry, bundle gerbes and global double field theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
- Spin structures on loop spaces that characterize string manifolds
- Shifted symplectic structures
- 2-plectic geometry, Courant algebroids, and categorified prequantization
- \(2d\) Fu-Kane-Mele invariant as Wess-Zumino action of the sewing matrix
- Holonomy on \(D\)-branes
- Equivariance in higher geometry
- Global gauge anomalies in two-dimensional bosonic sigma models
- Generalized complex geometry
- Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
- Parallel transport and functors
- Quasi-Hamiltonian reduction via classical Chern-Simons theory
- Principal \(\infty \)-bundles: general theory
- Bi-branes: Target space geometry for world sheet topological defects
- Multiplicative bundle gerbes with connection
- Topological quantization and cohomology
- Introduction to sh Lie algebras for physicists
- Geometry of Deligne cohomology
- Basic gerbe over non-simply connected compact groups
- Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
- Higher-degree analogs of the determinant line bundle
- Holonomy and parallel transport for abelian gerbes
- Integration of twisted Dirac brackets
- TQFT's and gerbes
- Gerbes and homotopy quantum field theories
- The basic gerbe over a compact simple Lie group
- \(T\)-duality: topology change from \(H\)-flux
- Čech cocycles for differential characteristic classes: an \(\infty \)-Lie theoretic construction
- Smooth functorial field theories from B-fields and D-branes
- Smooth 2-group extensions and symmetries of bundle gerbes
- Multiplicative vector fields on bundle gerbes
- Lie 2-algebras of vector fields
- \(L_{\infty}\)-algebras of local observables from higher prequantum bundles
- Lagrangian submanifolds of standard multisymplectic manifolds
- Higher geometry for non-geometric T-duals
- Geometry and 2-Hilbert space for nonassociative magnetic translations
- Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess-Zumino, and Fu-Kane-Mele
- Fluxes, bundle gerbes and 2-Hilbert spaces
- Unoriented WZW models and holonomy of bundle gerbes
- Momentum maps and Morita equivalence
- Homotopical algebra
- Abelian and non-abelian branes in WZW models and gerbes
- Higher U(1)-gerbe connections in geometric prequantization
- THE GAUGING OF TWO-DIMENSIONAL BOSONIC SIGMA MODELS ON WORLD-SHEETS WITH DEFECTS
- String connections and Chern-Simons theory
- Categorical Homotopy Theory
- From Sheaf Cohomology to the Algebraic de Rham Theorem
- T-Duality via Gerby Geometry and Reductions
- On two-dimensional holonomy
- An Introduction to Bundle Gerbes
- Convenient categories of smooth spaces
- Supersymmetric field theories and generalized cohomology
- Parallel transport in principal 2-bundles
- Bundle Gerbes: Stable Isomorphism and Local Theory
- Thom isomorphism and push-forward map in twisted K-theory
- Bundle Gerbes and Surface Holonomy
- Classical lifting processes and multiplicative vector fields
- WZW BRANES AND GERBES
- Bundle 2-Gerbes
- CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES
- BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY
- The 2-Hilbert space of a prequantum bundle gerbe
- Higher Categories and Homotopical Algebra
- Generalized Calabi-Yau Manifolds
- Strongly homotopy lie algebras
- Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
- Integrating morphisms of Lie 2-algebras
- Topological insulators and the Kane–Mele invariant: Obstruction and localization theory
- Basic Category Theory
- A Higher Stacky Perspective on Chern–Simons Theory
- Twisted bundles and twisted K-theory
- Bundle Gerbes
- Axiomatic characterization of ordinary differential cohomology
- Higher Topos Theory (AM-170)
- Loop spaces, characteristic classes and geometric quantization
- D-branes in a topologically nontrivial \(B\)-field
- L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism
- Global Double Field Theory is Higher Kaluza‐Klein Theory
