Abstract and Applied Analysis
Volume 2006 (2006), Article ID 98081, 16 pages
Surgery and the relative index in elliptic theory
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.
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.