EQUIVARIANT INDEX FORMULAS FOR ORBIFOLDS

@article{Vergne1996EQUIVARIANTIF,
  title={EQUIVARIANT INDEX FORMULAS FOR ORBIFOLDS},
  author={M. Vergne},
  journal={Duke Mathematical Journal},
  year={1996},
  volume={82},
  pages={637-652}
}
  • M. Vergne
  • Published 1996
  • Mathematics
  • Duke Mathematical Journal
Let P be a smooth manifold. Let H be a compact Lie group acting on P . We assume that the action of H is infinitesimally free, that is the stabilizer H(y) of any point y ∈ P is a finite subgroup of H. We write the action of H on the right. The quotient space P/H is an orbifold (if H acts freely, then P/H is a manifold). Reciprocally any orbifold M can be presented this way: for example, one might choose P to be the bundle of orthonormal frames for a choice of a metric on M and H = O(n) if n… Expand
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