Surgery and the relative index in elliptic theory

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.

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Main Authors: V. E. Nazaikinskii, B. Yu. Sternin
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/98081
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author V. E. Nazaikinskii
B. Yu. Sternin
author_facet V. E. Nazaikinskii
B. Yu. Sternin
author_sort V. E. Nazaikinskii
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2006-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-5b1b11d0a78142acb88d31eff16a00ce2025-02-03T01:29:01ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/9808198081Surgery and the relative index in elliptic theoryV. E. Nazaikinskii0B. Yu. Sternin1Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101-1, Moscow 119526, RussiaIndependent University of Moscow, Bolshoy Vlasyevskiy Pereulok 11, Moscow 119002, RussiaThis 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.http://dx.doi.org/10.1155/AAA/2006/98081
spellingShingle V. E. Nazaikinskii
B. Yu. Sternin
Surgery and the relative index in elliptic theory
Abstract and Applied Analysis
title Surgery and the relative index in elliptic theory
title_full Surgery and the relative index in elliptic theory
title_fullStr Surgery and the relative index in elliptic theory
title_full_unstemmed Surgery and the relative index in elliptic theory
title_short Surgery and the relative index in elliptic theory
title_sort surgery and the relative index in elliptic theory
url http://dx.doi.org/10.1155/AAA/2006/98081
work_keys_str_mv AT venazaikinskii surgeryandtherelativeindexinelliptictheory
AT byusternin surgeryandtherelativeindexinelliptictheory