Some Applications of Vector Bundle Theory

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


Here we describe some problems where vector bundles appear in a natural way. We do not pretend to give a complete list but rather they correspond to the author’s interest. Nevertheless, we hope that these examples will demonstrate the usefulness of vector bundle theory as a geometric technique.


Vector Bundle Elliptic Operator Pseudodifferential Operator Projective Module Fredholm Operator 


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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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