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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Official URL: 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
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:	05 Nov 2024 10:37 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/51388 (The current URI for this page, for reference purposes)

University of Kent Author Information

Waterstraat, Nils.

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