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Room P3.10, Mathematics Building

Constantin Teleman, Cambridge University

Twisted K-Theory and Applications II

The Verlinde algebra as twisted K-theory

A refresher on loop groups and their positive-energy representations, the fusion product and the Verlinde algebra. Computation of the twisted \(K_G(G)\) in simple cases (\(S^1\), \(SU(2)\), \(SO(3)\)). Gradings and graded representations.

References

  • Pressley, Segal: Loop Groups. Oxford University Press.
  • Freed: The Verlinde algebra is twisted equivariant K-theory. Turkish J. Math. 25 (2001).
  • Freed, Hopkins, Teleman: math.AT/0206257.