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Summary

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.

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Bär, C., Schopka, S. (2003). The Dirac Determinant of Spherical Space Forms. In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-55627-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44051-2

  • Online ISBN: 978-3-642-55627-2

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