A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry
Nils Waterstraat · arXiv (Cornell University) · 2010
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.