Text only print
Full screen print
Tuesday Seminar on Topology
Seminar information archive ～01/14｜Next seminar｜Future seminars 01/15～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2007/04/24
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
五味 清紀 (東京大学大学院数理科学研究科)
Realization of twisted $K$-theory and
finite-dimensional approximation of Fredholm operators
五味 清紀 (東京大学大学院数理科学研究科)
Realization of twisted $K$-theory and
finite-dimensional approximation of Fredholm operators
[ Abstract ]
A problem in twisted $K$-theory is to realize twisted $K$-groups generally by means of finite-dimensional geometric objects, like vector bundles. I would like to talk about an approach toward the problem by means of Mikio Furuta's generalized vector bundles. By using a twisted version of the generalized vector bundle and a finite-dimensional approximation of Fredholm operators, I construct a group into which there exists a natural injection from the twisted $K$-group twisted by any third integral cohomology class.
A problem in twisted $K$-theory is to realize twisted $K$-groups generally by means of finite-dimensional geometric objects, like vector bundles. I would like to talk about an approach toward the problem by means of Mikio Furuta's generalized vector bundles. By using a twisted version of the generalized vector bundle and a finite-dimensional approximation of Fredholm operators, I construct a group into which there exists a natural injection from the twisted $K$-group twisted by any third integral cohomology class.
