The local formula is particularly suited for the generalization of the Lefschetz formula to compact orbifolds. The result is stated in Theorem 14.1 at the end of this chapter. In its formulation, we need certain auxiliary orbifolds, which we call the fixed point orbifolds and which will be introduced in Section 14.4. We begin this chapter with the definition of orbifolds and then discuss how the spin-c Dirac operator and the corresponding heat kernel can be introduced on these.


Vector Bundle Heat Kernel Hermitian Structure Virtual Character Invariant Section 


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • J. J. Duistermaat
    • 1
  1. 1.Mathematisch InstituutUniversiteit UtrechtUtrechtThe Netherlands

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