摘要
We establish a mod 2 index theorem for real vector bundles over 8k + 2 dimensional compact pin(-) manifolds. The analytic index is the reduced eta invariant of (twisted) Dirac operators and the topological index is defined through KO-theory. Our main result extends the mod 2 index theorem of Atiyah and Singer (1971) to non-orientable manifolds.
- 出版日期2017-9
- 单位南开大学