A mod 2 index theorem for pin- manifolds
Abstract
We establish a mod 2 index theorem for real vector bundles over 8k+2 dimensional compact pin- manifolds. The analytic index is the reduced η invariant of (twisted) Dirac operators and the topological index is defined through KO-theory. Our main result extends the mod 2 index theorem of Atiyan and Singer to non-orientable manifolds.
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