The index bundle for Fredholm morphisms
We extend the index bundle construction for families of bounded Fredholm operators to morphisms between Banach bundles.
math.FA↗
arXiv subjects
Nils Waterstraat
Publications and source records attributed to Nils Waterstraat.
A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry
We give a short proof of the Morse index theorem for geodesics in semi-Riemannian manifolds by using K-theory. This makes the Morse index theorem reminiscent of the Atiyah-Singer index theorem for families of selfadjoint elliptic operators.
math.DG↗