THE EXISTENCE OF COMBINATORIAL FORMULAE FOR CHARACTERISTIC CLASSES

@article{Levitt1978THEEO,
  title={THE EXISTENCE OF COMBINATORIAL FORMULAE FOR CHARACTERISTIC CLASSES},
  author={N. Levitt and C. Rourke},
  journal={Transactions of the American Mathematical Society},
  year={1978},
  volume={239},
  pages={391-397}
}
  • N. Levitt, C. Rourke
  • Published 1978
  • Mathematics
  • Transactions of the American Mathematical Society
Given a characteristic class on a locally ordered combinatorial manifold M there exists a cocycle which represents the class on M and is locally defined, i.e. its value on a E M depends only on the ordered star st(a, M). For rational classes the dependence on order disappears. There is also a locally defined cycle which carries the dual homology class. For some time it has been known that there is a simple combinatorial representation for the homology duals of the Stiefel-Whitney classes of a… Expand
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