Poincare Duality Cobordism

@article{Levitt1972PoincareDC,
  title={Poincare Duality Cobordism},
  author={N. Levitt},
  journal={Annals of Mathematics},
  year={1972},
  volume={96},
  pages={211}
}
  • N. Levitt
  • Published 1972
  • Mathematics
  • Annals of Mathematics
Consider the following problem: What is the relation between the group of oriented cobordism classes of oriented Poincare duality spaces (denoted QPD.) and the stable homotopy group wrMSG, where MSG is the Thom space which arises from the universal orientable spherical fibrations. In particular, the result of Spivak [8] allows the construction of a Pontrjagin-Thom map p: QPD.wr MSG. One therefore, wishes to know how close p is to being an isomorphism. Of course, it is not true that p is an… Expand
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