Elliptic Operators on Smooth Manifolds and K-Theory

  • Glenys Luke
  • Alexander S. Mishchenko
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 447)

Abstract

In this chapter we describe some of the most fruitful applications of vector bundles, namely, in elliptic operator theory. We study some of the geometrical constructions which appear naturally in the analysis of differential and pseudodifferential operators on smooth manifolds.

Keywords

Manifold Nite 

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Glenys Luke
    • 1
  • Alexander S. Mishchenko
    • 2
  1. 1.St. Hugh’s CollegeOxford UniversityOxfordUK
  2. 2.Department of MathematicsMoscow State UniversityMoscowRussia

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