Abstract and Applied Analysis
Volume 2006 (2006), Article ID 98081, 16 pages
doi:10.1155/AAA/2006/98081

Surgery and the relative index in elliptic theory

V. E. Nazaikinskii1 and B. Yu. Sternin2

1Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101-1, Moscow 119526, Russia
2Independent University of Moscow, Bolshoy Vlasyevskiy Pereulok 11, Moscow 119002, Russia

Received 26 June 2005; Accepted 1 July 2005

Copyright © 2006 V. E. Nazaikinskii and B. Yu. Sternin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified manifolds and manifolds with singularities.