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Room P3.10, Mathematics Building

Constantin Teleman, Cambridge University

Twisted K-Theory and Applications I

K-Theory and its twisted versions: definitions and properties

Definition of K-theory of a space, using vector bundles and using families of bounded (Fredholm) operators. Group actions and equivariant K-theory. The Chern character. Twistings for K-theory and the twisted Chern character.

References

  • Bouwknegt et. al: Twisted K-theory and K-theory of bundle gerbes. Comm. Math. Phys. 228 (2002).
  • Freed: ICM Proceedings 2002.
  • Freed, Hopkins, Teleman: math.AT/0206257.