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Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds

  • Anton Savin
  • Boris Sternin
Conference paper
First Online:
Part of the Operator Theory: Advances and Applications book series (OT, volume 231)

Abstract

In this paper we give a survey of elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Such operators appear naturally in analysis, geometry and mathematical physics. We survey classical results as well as results obtained recently. The paper consists of an introduction and three sections. In the introduction we give a general overview of the area of research. For the reader’s convenience here we tried to keep special terminology to a minimum. In the remaining sections we give detailed formulations of the most important results mentioned in the introduction.

Keywords

Elliptic operator index index formula cyclic cohomology diffeomorphism G-operator. 
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© Springer Basel 2013

Authors and Affiliations

  1. 1.Peoples’ Friendship University of RussiaMoscowRussia
  2. 2.Institut fur AnalysisLeibniz University of HannoverHannoverGermany

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