A 𝐾-theoretic proof of the Morse index theorem in semi-Riemannian geometry-Reference-Cited by-同舟云学术

A 𝐾-theoretic proof of the Morse index theorem in semi-Riemannian geometry

Published:2011-05-05 Issue:1 Volume:140 Page:337-349
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Waterstraat Nils

Abstract

We give a short proof of the Morse index theorem for geodesics in semi-Riemannian manifolds by using K K -theory. This makes the Morse index theorem reminiscent of the Atiyah-Singer index theorem for families of selfadjoint elliptic operators.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-01/S0002-9939-2011-10874-8/S0002-9939-2011-10874-8.pdf

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