String connections and Chern-Simons theory
From MaRDI portal
Publication:2847041
DOI10.1090/S0002-9947-2013-05816-3zbMath1277.53024arXiv0906.0117MaRDI QIDQ2847041
Publication date: 4 September 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0117
Chern-Simons theorystring connection2-gerbeextended topological field theorygeometric string structure
Topological quantum field theories (aspects of differential topology) (57R56) Eta-invariants, Chern-Simons invariants (58J28) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Differential geometric aspects of gerbes and differential characters (53C08)
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Cites Work
- Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
- Central extensions of smooth 2-groups and a finite-dimensional string 2-group
- Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
- Orientation and string structures on loop space
- Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
- Parallel transport and functors
- Multiplicative bundle gerbes with connection
- The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
- Beyond the elliptic genus
- Characteristic forms and geometric invariants
- The basic gerbe over a compact simple Lie group
- The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II
- Čech cocycles for differential characteristic classes: an \(\infty \)-Lie theoretic construction
- From loop groups to 2-groups
- Twistor spaces and spinors over loop spaces
- Setting the quantum integrand of M-theory
- Quadratic functions in geometry, topology, and \(M\)-theory
- Gerbes and Lie Groups
- A LOOP SPACE FORMULATION FOR GEOMETRIC LIFTING PROBLEMS
- An Introduction to Bundle Gerbes
- Supersymmetric field theories and generalized cohomology
- Bundle Gerbes: Stable Isomorphism and Local Theory
- On the Classification of Topological Field Theories
- WZW BRANES AND GERBES
- Bundle 2-Gerbes
- Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
- A construction of string 2-group models using a transgression-regression technique
- Bundle Gerbes
- Axiomatic characterization of ordinary differential cohomology
- Higher-dimensional parallel transports
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