Twisted K-theory and loop group representations

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This is the third paper of a series relating the equivariant twisted $K$-theory of a compact Lie group $G$ to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat arbitrary compact Lie groups. In addition, we discuss the relation to semi-infinite cohomology, the fusion product of Conformal Field theory, the rôle of energy and the topological Peter-Weyl theorem.
The final SELF-CONTAINED version is v.2. The current version had some material removed to the prequels [FHT1,2]. Minor notational changes

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Algebraic Topology, High Energy Physics - Theory, K-Theory and Homology, Representation Theory, 19L47, 22E67 (primary); 19K99 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/99917

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312155
 http://arxiv.org/abs/math/0312155

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arXiv