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:https://doi.org/10.1090/S0002-9939-2011-10874-8) (Full text available)

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http://dx.doi.org/10.1090/S0002-9939-2011-10874-8

Abstract

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
Additional information: Imported from arXiv
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 03 Nov 2015 16:44 UTC
Last Modified: 07 Feb 2017 22:58 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51388 (The current URI for this page, for reference purposes)
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