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Introduction

  • Calvin C. Moore
  • Claude Schochet
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 9)

Abstract

Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classically in the Gauss-Bonnet theorem and its generalizations. which culminate in the Atiyah-Singer Index Theorem [AS1] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topological properties of the manifold.

Keywords

Elliptic Operator Pseudodifferential Operator Topological Index Index Theorem Chern Character 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Calvin C. Moore
    • 1
    • 2
  • Claude Schochet
    • 3
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Mathematical Sciences Research InstituteBerkeleyUSA
  3. 3.Department of MathematicsWayne State UniversityDetroitUSA

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