A spectral sequence for orbifold cobordism

@article{ngel2009ASS,
  title={A spectral sequence for orbifold cobordism},
  author={Andr{\'e}s Jim{\'e}nez {\'A}ngel},
  journal={Banach Center Publications},
  year={2009},
  volume={85},
  pages={141-154}
}
  • A. Ángel
  • Published 2009
  • Mathematics
  • Banach Center Publications
The aim of this paper is to introduce a spectral sequence that converges to the cobordism groups of orbifolds with given isotropy representations. In good cases the E-term of this spectral sequence is given by a certain cobordism group of orbibundles over purely ineffective orbifolds which can be identified with the bordism group of the classifying space of the Weyl group of a finite subgroup of O(n). We use this spectral sequence to calculate some cobordism groups of orbifolds for low… 

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  • preprint
  • 2007