Relative K-area homology and applications

Abstract

We show an Uhlenbeck type estimate for closed simply connected manifolds which provides the existence of certain exact sequences in K-area homology. This leads to the behavior of the K-area homology under surgery. Moreover, we give an index theoretic obstruction to positive scalar curvature on compact spin manifolds with boundary.

References in corpus (2)

• Smooth Yamabe invariant and surgery
• Scalar curvature and vector bundles

Cited by in corpus (1)

• Remark on the Novikov conjecture and the homotopy invariance of the Hirzebruch L-class