A K-THEORETIC PROOF OF THE MORSE INDEX THEOREM IN SEMI-RIEMANNIAN GEOMETRY

作者：Waterstraat Nils^*

来源：Proceedings of the American Mathematical Society, 2012, 140(1): 337-349.

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.

• 出版日期2012-1