The authors define a relative coarse index, prove it computes submanifold indices via a Thom class, and use it to build scalar curvature obstructions away from submanifolds.
Positive curvature, partial vanishing theorems and coarse indices
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The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature
The authors define a relative coarse index, prove it computes submanifold indices via a Thom class, and use it to build scalar curvature obstructions away from submanifolds.