Contents/conteúdo

Mathematics Department Técnico Técnico

Summer Lectures in Geometry  RSS

Sessions

02/06/2003, 10:30 — 11:30 — 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.

For detailed overviews of each course see https://camgsd.tecnico.ulisboa.pt/encontros/slg/.

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