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Geometry of determinants of elliptic operators

  • Maxim Kontsevich
  • Simeon Vishik
Part of the Progress in Mathematics book series (PM, volume 131)

Abstract

D.B. Ray and I.M. Singer invented zeta-regularized determinants for positive definite elliptic pseudo-differential operators (PDOs) of positive orders acting in the space of smooth sections of a finite-dimensional vector bundle E over a closed finite-dimensional manifold M ([RS1], [RS2]).

Keywords

Elliptic Operator Central Extension Symmetric Bilinear Form Principal Symbol Fredholm Determinant 
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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References

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Copyright information

© Birkhäuser Boston 1995

Authors and Affiliations

  • Maxim Kontsevich
    • 1
    • 2
  • Simeon Vishik
    • 1
    • 3
  1. 1.Max-Planck-Institut für MathematikBonnGermany
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  3. 3.Department of Mathematics 038-16Temple UniversityPhiladelphiaUSA

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