The Dirac Determinant of Spherical Space Forms

Christian Bär () and Sven Schopka ()
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Christian Bär: Universität Hamburg, FB Mathematik
Sven Schopka: Universität Hamburg, FB Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 39-67 from Springer

Abstract: 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.

Keywords: Dirac Operator; Spin Structure; Constant Sectional Curvature; Chern Number; Spinor Bundle (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_3

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DOI: 10.1007/978-3-642-55627-2_3

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