Localized Index and $L^2$-Lefschetz fixed point formula for orbifolds

@article{Wang2013LocalizedIA,
  title={Localized Index and \$L^2\$-Lefschetz fixed point formula for orbifolds},
  author={B. Wang and Hang Wang},
  journal={arXiv: Differential Geometry},
  year={2013}
}
  • B. Wang, Hang Wang
  • Published 2013
  • Mathematics
  • arXiv: Differential Geometry
  • We study a class of localized indices for the Dirac type operators on a complete Riemannian orbifold, where a discrete group acts properly, co-compactly and isometrically. These localized indices, generalizing the $L^2$-index of Atiyah, are obtained by taking certain traces of the higher index for the Dirac type operators along conjugacy classes of the discrete group. Applying the local index technique, we also obtain an $L^2$-version of the Lefschetz fixed point formula for orbifolds. These… CONTINUE READING
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