Abstract
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.
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© 1996 Birkhäuser Boston
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Duistermaat, J.J. (1996). The Orbifold Version. In: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator. Progress in Nonlinear Differential Equations and their Applications, vol 18. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5344-0_14
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DOI: https://doi.org/10.1007/978-1-4612-5344-0_14
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-5346-4
Online ISBN: 978-1-4612-5344-0
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