Twisted equivariant K‐theory with complex coefficients
By D. Freed, M. Hopkins, C. Teleman. 2002
137 citations recorded by the source corpus.
Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K‐theory of a space with a compact Lie group action in terms of fixed‐point data. We apply this to the case of a compact group acting on itself by conjugation and relate the result to the Verlinde algebra and to the Kac numerator at q=1. Verlinde's formula is also discussed in this context.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c4afc5759c4a2c8798f0681b483474b13f2eed8d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Heisenberg groups and noncommutative fluxes (2006, background): “This Chern character was defined in [40][41][42], and is briefly recalled in appendix A.”
- Loop groups and twisted K‐theory I (2007, methodology): “We now describe a topological version of the Peter-Weyl theorem for loop groups; beyond its entertainment value, the result can be used to confirm that the bilinear form in the Frobenius algebra KτG(G) of [FHT1] agrees with the natural duality pairing in the Verlinde ring, as claimed in [ FHT3 , §8]”
- The resolution property for schemes and stacks (2002, background): “An example where infinite-dimensional bundles are needed is the twisted K-theory recently considered by Freed, Hopkins, Teleman, and others, which can be viewed as the K-theory of a “topological stack,” the S1gerbe X over a space Y associated to an element of H2(Y, S1 cont) = H 3(Y,Z); when this ele”