Twisted K-theory and K-theory of bundle gerbes
arXiv:hep-th/0106194 · doi:10.1007/s002200200646
Abstract
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in non-trivial backgrounds are discussed.
29 pages, corrected typos, added references, included new section on twisted Chern character in non-torsion case
References in corpus (5)
Cited by in corpus (143)
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- Twisted Homology
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- K-Theory in Quantum Field Theory
- The Real K-Theory of Compact Lie Groups
- Sheaf theory for stacks in manifolds and twisted cohomology for S^1-gerbes
- Spherical T-Duality
- The Cascade is a MMS Instanton
- Twisted Analytic Torsion
- Noncommutative correspondences, duality and D-branes in bivariant K-theory
- E8 Gauge Theory and Gerbes in String Theory
- IIB Soliton Spectra with All Fluxes Activated
- Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
- A higher chromatic analogue of the image of J
- Loop Groups, Kaluza-Klein Reduction and M-Theory
- Spectral sections, twisted rho invariants and positive scalar curvature
- Conformal invariants of twisted Dirac operators and positive scalar curvature
- C*-algebras in tensor categories
- Index type invariants for twisted signature complexes and homotopy invariance
- Twisted chiral de Rham complex, generalized geometry, and T-duality
- Topological T-duality for torus bundles with monodromy
- Exotic smooth R^4 and certain configurations of NS and D branes in string theory
- T-Duality as a Duality of Loop Group Bundles
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- Projective Dirac Operators, Twisted K-Theory and Local Index Formula
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- Geometric models of twisted differential K-theory I
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- Gerbes on orbifolds and exotic smooth R^4
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- Motivic twisted K-theory
- Topological Z_{N+1} Charges on Fuzzy Sphere
- Actions of Eilenberg-MacLane spaces on K-theory spectra and uniqueness of twisted K-theory
- Equivariant twisted Real -theory of compact Lie groups
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- An approach toward a finite-dimensional definition of twisted K-theory
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- A Fourier-Mukai Approach to the K-theory of Compact Lie Groups
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- Twisted Morava K-theory and connective covers of Lie groups
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- Exotic Courant algebroids and T-duality
- Operator-valued pseudo-differential operators and the twisted index pairing
- On the quantization of conjugacy classes
- Exponential Functors, R-Matrices and Twists
- Equivariant K-theory and Resolution I: Abelian actions
- Noninvertible symmetries in the B model TFT
- Twisted K-Theory as a BRST Cohomology
- Geometric and topological aspects of Type IIB D-branes
- On the Chern character in Higher Twisted K-theory and spherical T-duality
- Gerbes in Geometry, Field Theory, and Quantisation
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- Stratified Fiber Bundles, Quinn Homology and Brane Stability of Hyperbolic Orbifolds
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- An Introduction to Gerbes on Orbifolds
- Gerbes over Orbifolds and Twisted K-theory
- Lectures on Noncommutative Geometry
- Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class
- Topological Insulators and the Kane-Mele Invariant: Obstruction and Localisation Theory
- The index of families of projective operators
- T-duality, vertical holonomy line bundles and loop Hori formulae
- A Geometric Construction of Cyclic Cocycles on Twisted Convolution Algebras
- K-twisted K-theory for SU(N)
- Exotic Twisted Equivariant K-Theory
- Families index theorem in supersymmetric WZW model and twisted K-theory
- Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class II: Topological and equivariant models
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