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Seminars
Bott periodicity and Thom isomorphism in Freed-Moore K-theory
- Hold Date
- 2017-11-10 16:00〜2017-11-10 17:00
- Place
- Lecture Room S W1-C-514, West Zone 1, Ito campus, Kyushu University
- Object person
- Speaker
- Kiyonori GOMI (Shishu University)
Abstract:
The twisted equivariant K-theory, introduced by Freed and Moore, handles in a unified way known topological K-theories such as the usual complex K-theory and Atiyah's KR-theory. The thing I would like to talk is about basic properties of this K-theory. First, it has the Bott periodicity, and as its consequence certain twists behave as degree shifts. The Thom isomorphism theorem also holds true, in which a variant of the spin structure appears. If time permits, I will talk abut the relationship between the formulation by using Fredholm operators and that by using Karoubi's triple.