Cursos de Verão em Geometria 

02/06/2003, 10:30 — 11:30 — Sala P3.10, Pavilhão de Matemática
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.