Michael Atiyah and Graeme Segal have a new foundational paper out on twisted K-theory. It doesn’t have too many examples or applications, but lays a rigorous foundation for a certain point of view on the subject. Section 5 is the one quantum field theorists should pay attention to, it explains the relation to the fermionic Fock space. For a more explicit construction relating QFT to twisted K-theory, besides the papers of Freed, Hopkins and Teleman, one can look at “Gerbes, (twisted) K-theory, and the supersymmetric WZW model” by Jouko Mickelsson.
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