Twisted K-theory and loop group representations

Daniel S. Freed; Michael J. Hopkins; Constantin Teleman

Twisted K-theory and loop group representations

代数拓扑 2007-05-23 v3 高能物理 - 理论 K理论与同调表示论

作者: Daniel S. Freed , Michael J. Hopkins , Constantin Teleman

摘要

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 r\^ole of energy and the topological Peter-Weyl theorem.

关键词

equivariant cohomology twisted k-theory algebraic k-theory

引用

@article{arxiv.math/0312155,
  title  = {Twisted K-theory and loop group representations},
  author = {Daniel S. Freed and Michael J. Hopkins and Constantin Teleman},
  journal= {arXiv preprint arXiv:math/0312155},
  year   = {2007}
}

备注

The final SELF-CONTAINED version is v.2. The current version had some material removed to the prequels [FHT1,2]. Minor notational changes

Twisted K-theory and loop group representations

摘要

关键词

引用

备注

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