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.
Prolongations of Lie algebras and applications
The modified Calabi-Yau problems for CR-manifolds and applications
Sectional Curvature in terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks
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