The Dirac Determinant of Spherical Space Forms

  • Christian Bär
  • Sven Schopka


The ζ-regularized determinants of the Dirac operator and of its square are computed on spherical space forms. On S 2 the determinant of Dirac operators twisted by a complex line bundle is also calculated.


Dirac Operator Spin Structure Constant Sectional Curvature Chern Number Spinor Bundle 
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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Christian Bär
    • 1
  • Sven Schopka
    • 1
  1. 1.FB MathematikUniversität HamburgHamburgGermany

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