Twisted K-theory and loop group representations

dc.creatorFreed, Daniel S.
dc.creatorHopkins, Michael J.
dc.creatorTeleman, Constantin
dc.date2003-12-08
dc.date2005-11-11
dc.date.accessioned2026-07-07T06:35:50Z
dc.date.available2026-07-07T06:35:50Z
dc.descriptionThis 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.
dc.descriptionThe final SELF-CONTAINED version is v.2. The current version had some material removed to the prequels [FHT1,2]. Minor notational changes
dc.identifierhttps://arxiv.org/abs/math/0312155
dc.identifierhttp://arxiv.org/abs/math/0312155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99917
dc.subjectAlgebraic Topology
dc.subjectHigh Energy Physics - Theory
dc.subjectK-Theory and Homology
dc.subjectRepresentation Theory
dc.subject19L47, 22E67 (primary); 19K99 (secondary)
dc.titleTwisted K-theory and loop group representations
dc.typetext

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