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A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry

Waterstraat, Nils (2011) A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry. Proceedings of the American Mathematical Society, 140 . pp. 337-349. ISSN 0002-9939. (doi:10.1090/S0002-9939-2011-10874-8) (KAR id:51388)

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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.

Item Type: Article
DOI/Identification number: 10.1090/S0002-9939-2011-10874-8
Additional information: Imported from arXiv
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Nils Waterstraat
Date Deposited: 03 Nov 2015 16:44 UTC
Last Modified: 16 Nov 2021 10:21 UTC
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