Twisted K-theory and loop groups
arXiv:math/0206237
Abstract
Twisted K-theory has received much attention recently in both mathematics and physics. We describe some models of twisted K-theory, both topological and geometric. Then we state a theorem which relates representations of loop groups to twisted equivariant K-theory. This is joint work with Michael Hopkins and Constantin Teleman.
12 pages, ICM talk, assertion about ring structure fixed
References in corpus (7)
- Lectures on Special Lagrangian Submanifolds
- Twisted K-theory and K-theory of bundle gerbes
- Higher Algebraic Structures and Quantization
- The index of projective families of elliptic operators
- The Verlinde algebra is twisted equivariant K-theory
- K-Theory Past and Present
- Notes on G-theory of Deligne-Mumford stacks
Cited by in corpus (18)
- Twisted K-theory and loop group representations
- Some Relations between Twisted K-theory and E8 Gauge Theory
- On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
- Gerbes, (twisted) K-theory, and the supersymmetric WZW model
- The coset D-branes of SU(n)
- D-branes in N=2 coset models and twisted equivariant K-theory
- Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
- Differential Twisted K-theory and Applications
- Level-rank duality of untwisted and twisted D-branes
- Projective Dirac Operators, Twisted K-Theory and Local Index Formula
- Level-rank duality of D-branes on the SU(N) group manifold
- Representation rings of Lie superalgebras
- Supersymmetric WZW models and twisted K-theory of SO(3)
- Twisted D-branes of the SU(N)_K WZW model and level-rank duality
- K-twisted K-theory for SU(N)
- Families index theorem in supersymmetric WZW model and twisted K-theory
- The Thom isomorphism in gauge-equivariant K-theory
- Twisted representation rings and Dirac induction