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.
Highlights
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
This is a survey article intended as an elementary introduction to the general index locality principle introduced in [17]
We discuss it and give some examples of its consequences and applications showing that this principle often proves to be a powerful tool for obtaining index formulas in various situations
Summary
This is a survey article intended as an elementary introduction to the general index locality principle introduced in [17]. We discuss it and give some examples of its consequences and applications showing that this principle often proves to be a powerful tool for obtaining index formulas in various situations. Proofs can be found elsewhere; we provide only references. A lack of reference usually means that more detailed explanations can be found in [17]. A detailed account of the history of the problem is contained in [17]. We start by recalling elementary notions of elliptic theory.
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